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Finding the Third Proportional to 266,150 and 404,306

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Solution

The third proportional to 266,150 and 404,306 is: 614,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,150 : 404,306 = 404,306 : x
  2. Step 2: Convert to fraction form
    266,150/404,306 = 404,306/x
  3. Step 3: Cross multiply
    266,150x = 404,306 × 404,306
  4. Step 4: Simplify right side
    266,150x = 163,463,341,636
  5. Step 5: Solve for x
    x = 163,463,341,636/266,150
  6. Step 6: Final answer
    x = 614,177.50

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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.