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Finding the Third Proportional to 171,132 and 266,032

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Solution

The third proportional to 171,132 and 266,032 is: 413,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,132 : 266,032 = 266,032 : x
  2. Step 2: Convert to fraction form
    171,132/266,032 = 266,032/x
  3. Step 3: Cross multiply
    171,132x = 266,032 × 266,032
  4. Step 4: Simplify right side
    171,132x = 70,773,025,024
  5. Step 5: Solve for x
    x = 70,773,025,024/171,132
  6. Step 6: Final answer
    x = 413,558.10

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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.