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Finding the Third Proportional to 123,011.50 and 266,424.75

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Solution

The third proportional to 123,011.50 and 266,424.75 is: 577,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,011.50 : 266,424.75 = 266,424.75 : x
  2. Step 2: Convert to fraction form
    123,011.50/266,424.75 = 266,424.75/x
  3. Step 3: Cross multiply
    123,011.50x = 266,424.75 × 266,424.75
  4. Step 4: Simplify right side
    123,011.50x = 70,982,147,412.56
  5. Step 5: Solve for x
    x = 70,982,147,412.56/123,011.50
  6. Step 6: Final answer
    x = 577,036.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.