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Finding the Third Proportional to 181,535.50 and 266,471

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Solution

The third proportional to 181,535.50 and 266,471 is: 391,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,535.50 : 266,471 = 266,471 : x
  2. Step 2: Convert to fraction form
    181,535.50/266,471 = 266,471/x
  3. Step 3: Cross multiply
    181,535.50x = 266,471 × 266,471
  4. Step 4: Simplify right side
    181,535.50x = 71,006,793,841
  5. Step 5: Solve for x
    x = 71,006,793,841/181,535.50
  6. Step 6: Final answer
    x = 391,145.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.