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Finding the Third Proportional to 171,123.89 and 266,019.19

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Solution

The third proportional to 171,123.89 and 266,019.19 is: 413,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,123.89 : 266,019.19 = 266,019.19 : x
  2. Step 2: Convert to fraction form
    171,123.89/266,019.19 = 266,019.19/x
  3. Step 3: Cross multiply
    171,123.89x = 266,019.19 × 266,019.19
  4. Step 4: Simplify right side
    171,123.89x = 70,766,208,118.16
  5. Step 5: Solve for x
    x = 70,766,208,118.16/171,123.89
  6. Step 6: Final answer
    x = 413,537.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.