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Finding the Third Proportional to 255,340.13 and 371,022.75

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Solution

The third proportional to 255,340.13 and 371,022.75 is: 539,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,340.13 : 371,022.75 = 371,022.75 : x
  2. Step 2: Convert to fraction form
    255,340.13/371,022.75 = 371,022.75/x
  3. Step 3: Cross multiply
    255,340.13x = 371,022.75 × 371,022.75
  4. Step 4: Simplify right side
    255,340.13x = 137,657,881,017.56
  5. Step 5: Solve for x
    x = 137,657,881,017.56/255,340.13
  6. Step 6: Final answer
    x = 539,115.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.