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Finding the Third Proportional to 115,685.50 and 234,591

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Solution

The third proportional to 115,685.50 and 234,591 is: 475,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,685.50 : 234,591 = 234,591 : x
  2. Step 2: Convert to fraction form
    115,685.50/234,591 = 234,591/x
  3. Step 3: Cross multiply
    115,685.50x = 234,591 × 234,591
  4. Step 4: Simplify right side
    115,685.50x = 55,032,937,281
  5. Step 5: Solve for x
    x = 55,032,937,281/115,685.50
  6. Step 6: Final answer
    x = 475,711.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.