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Finding the Third Proportional to 160,432 and 324,758

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Solution

The third proportional to 160,432 and 324,758 is: 657,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,432 : 324,758 = 324,758 : x
  2. Step 2: Convert to fraction form
    160,432/324,758 = 324,758/x
  3. Step 3: Cross multiply
    160,432x = 324,758 × 324,758
  4. Step 4: Simplify right side
    160,432x = 105,467,758,564
  5. Step 5: Solve for x
    x = 105,467,758,564/160,432
  6. Step 6: Final answer
    x = 657,398.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.