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Finding the Third Proportional to 151,332 and 212,087

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Solution

The third proportional to 151,332 and 212,087 is: 297,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,332 : 212,087 = 212,087 : x
  2. Step 2: Convert to fraction form
    151,332/212,087 = 212,087/x
  3. Step 3: Cross multiply
    151,332x = 212,087 × 212,087
  4. Step 4: Simplify right side
    151,332x = 44,980,895,569
  5. Step 5: Solve for x
    x = 44,980,895,569/151,332
  6. Step 6: Final answer
    x = 297,233.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.