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Finding the Third Proportional to 236,173.50 and 506,040.75

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Solution

The third proportional to 236,173.50 and 506,040.75 is: 1,084,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,173.50 : 506,040.75 = 506,040.75 : x
  2. Step 2: Convert to fraction form
    236,173.50/506,040.75 = 506,040.75/x
  3. Step 3: Cross multiply
    236,173.50x = 506,040.75 × 506,040.75
  4. Step 4: Simplify right side
    236,173.50x = 256,077,240,660.56
  5. Step 5: Solve for x
    x = 256,077,240,660.56/236,173.50
  6. Step 6: Final answer
    x = 1,084,275.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.