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Finding the Third Proportional to 255,187.13 and 536,496.75

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Solution

The third proportional to 255,187.13 and 536,496.75 is: 1,127,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,187.13 : 536,496.75 = 536,496.75 : x
  2. Step 2: Convert to fraction form
    255,187.13/536,496.75 = 536,496.75/x
  3. Step 3: Cross multiply
    255,187.13x = 536,496.75 × 536,496.75
  4. Step 4: Simplify right side
    255,187.13x = 287,828,762,760.56
  5. Step 5: Solve for x
    x = 287,828,762,760.56/255,187.13
  6. Step 6: Final answer
    x = 1,127,912.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.