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Finding the Third Proportional to 266,166 and 423,291

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Solution

The third proportional to 266,166 and 423,291 is: 673,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,166 : 423,291 = 423,291 : x
  2. Step 2: Convert to fraction form
    266,166/423,291 = 423,291/x
  3. Step 3: Cross multiply
    266,166x = 423,291 × 423,291
  4. Step 4: Simplify right side
    266,166x = 179,175,270,681
  5. Step 5: Solve for x
    x = 179,175,270,681/266,166
  6. Step 6: Final answer
    x = 673,171.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.