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Finding the Third Proportional to 266,252 and 402,150

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Solution

The third proportional to 266,252 and 402,150 is: 607,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,252 : 402,150 = 402,150 : x
  2. Step 2: Convert to fraction form
    266,252/402,150 = 402,150/x
  3. Step 3: Cross multiply
    266,252x = 402,150 × 402,150
  4. Step 4: Simplify right side
    266,252x = 161,724,622,500
  5. Step 5: Solve for x
    x = 161,724,622,500/266,252
  6. Step 6: Final answer
    x = 607,411.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.