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Finding the Third Proportional to 175,451 and 266,459

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Solution

The third proportional to 175,451 and 266,459 is: 404,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,451 : 266,459 = 266,459 : x
  2. Step 2: Convert to fraction form
    175,451/266,459 = 266,459/x
  3. Step 3: Cross multiply
    175,451x = 266,459 × 266,459
  4. Step 4: Simplify right side
    175,451x = 71,000,398,681
  5. Step 5: Solve for x
    x = 71,000,398,681/175,451
  6. Step 6: Final answer
    x = 404,673.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.