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Finding the Third Proportional to 160,432 and 341,509

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Solution

The third proportional to 160,432 and 341,509 is: 726,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,432 : 341,509 = 341,509 : x
  2. Step 2: Convert to fraction form
    160,432/341,509 = 341,509/x
  3. Step 3: Cross multiply
    160,432x = 341,509 × 341,509
  4. Step 4: Simplify right side
    160,432x = 116,628,397,081
  5. Step 5: Solve for x
    x = 116,628,397,081/160,432
  6. Step 6: Final answer
    x = 726,964.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.