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Finding the Third Proportional to 171,209.25 and 266,139

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Solution

The third proportional to 171,209.25 and 266,139 is: 413,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,209.25 : 266,139 = 266,139 : x
  2. Step 2: Convert to fraction form
    171,209.25/266,139 = 266,139/x
  3. Step 3: Cross multiply
    171,209.25x = 266,139 × 266,139
  4. Step 4: Simplify right side
    171,209.25x = 70,829,967,321
  5. Step 5: Solve for x
    x = 70,829,967,321/171,209.25
  6. Step 6: Final answer
    x = 413,704.09

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