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Finding the Third Proportional to 151,967 and 330,691

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Solution

The third proportional to 151,967 and 330,691 is: 719,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,967 : 330,691 = 330,691 : x
  2. Step 2: Convert to fraction form
    151,967/330,691 = 330,691/x
  3. Step 3: Cross multiply
    151,967x = 330,691 × 330,691
  4. Step 4: Simplify right side
    151,967x = 109,356,537,481
  5. Step 5: Solve for x
    x = 109,356,537,481/151,967
  6. Step 6: Final answer
    x = 719,607.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.