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Finding the Third Proportional to 151,644 and 328,371

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Solution

The third proportional to 151,644 and 328,371 is: 711,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,644 : 328,371 = 328,371 : x
  2. Step 2: Convert to fraction form
    151,644/328,371 = 328,371/x
  3. Step 3: Cross multiply
    151,644x = 328,371 × 328,371
  4. Step 4: Simplify right side
    151,644x = 107,827,513,641
  5. Step 5: Solve for x
    x = 107,827,513,641/151,644
  6. Step 6: Final answer
    x = 711,056.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.