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Finding the Third Proportional to 238,160 and 323,432

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Solution

The third proportional to 238,160 and 323,432 is: 439,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,160 : 323,432 = 323,432 : x
  2. Step 2: Convert to fraction form
    238,160/323,432 = 323,432/x
  3. Step 3: Cross multiply
    238,160x = 323,432 × 323,432
  4. Step 4: Simplify right side
    238,160x = 104,608,258,624
  5. Step 5: Solve for x
    x = 104,608,258,624/238,160
  6. Step 6: Final answer
    x = 439,235.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.