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Finding the Third Proportional to 266,166 and 400,329

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Solution

The third proportional to 266,166 and 400,329 is: 602,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,166 : 400,329 = 400,329 : x
  2. Step 2: Convert to fraction form
    266,166/400,329 = 400,329/x
  3. Step 3: Cross multiply
    266,166x = 400,329 × 400,329
  4. Step 4: Simplify right side
    266,166x = 160,263,308,241
  5. Step 5: Solve for x
    x = 160,263,308,241/266,166
  6. Step 6: Final answer
    x = 602,117.88

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