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Finding the Third Proportional to 266,190.50 and 402,057.75

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Solution

The third proportional to 266,190.50 and 402,057.75 is: 607,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,190.50 : 402,057.75 = 402,057.75 : x
  2. Step 2: Convert to fraction form
    266,190.50/402,057.75 = 402,057.75/x
  3. Step 3: Cross multiply
    266,190.50x = 402,057.75 × 402,057.75
  4. Step 4: Simplify right side
    266,190.50x = 161,650,434,335.06
  5. Step 5: Solve for x
    x = 161,650,434,335.06/266,190.50
  6. Step 6: Final answer
    x = 607,273.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.