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Finding the Third Proportional to 177,473 and 266,291

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Solution

The third proportional to 177,473 and 266,291 is: 399,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,473 : 266,291 = 266,291 : x
  2. Step 2: Convert to fraction form
    177,473/266,291 = 266,291/x
  3. Step 3: Cross multiply
    177,473x = 266,291 × 266,291
  4. Step 4: Simplify right side
    177,473x = 70,910,896,681
  5. Step 5: Solve for x
    x = 70,910,896,681/177,473
  6. Step 6: Final answer
    x = 399,558.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.