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Finding the Third Proportional to 160,448 and 347,680

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Solution

The third proportional to 160,448 and 347,680 is: 753,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,448 : 347,680 = 347,680 : x
  2. Step 2: Convert to fraction form
    160,448/347,680 = 347,680/x
  3. Step 3: Cross multiply
    160,448x = 347,680 × 347,680
  4. Step 4: Simplify right side
    160,448x = 120,881,382,400
  5. Step 5: Solve for x
    x = 120,881,382,400/160,448
  6. Step 6: Final answer
    x = 753,399.12

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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.