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Finding the Third Proportional to 119,851.31 and 266,306.06

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Solution

The third proportional to 119,851.31 and 266,306.06 is: 591,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,851.31 : 266,306.06 = 266,306.06 : x
  2. Step 2: Convert to fraction form
    119,851.31/266,306.06 = 266,306.06/x
  3. Step 3: Cross multiply
    119,851.31x = 266,306.06 × 266,306.06
  4. Step 4: Simplify right side
    119,851.31x = 70,918,918,924.25
  5. Step 5: Solve for x
    x = 70,918,918,924.25/119,851.31
  6. Step 6: Final answer
    x = 591,724.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.