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Finding the Third Proportional to 160,470 and 348,156

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Solution

The third proportional to 160,470 and 348,156 is: 755,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,470 : 348,156 = 348,156 : x
  2. Step 2: Convert to fraction form
    160,470/348,156 = 348,156/x
  3. Step 3: Cross multiply
    160,470x = 348,156 × 348,156
  4. Step 4: Simplify right side
    160,470x = 121,212,600,336
  5. Step 5: Solve for x
    x = 121,212,600,336/160,470
  6. Step 6: Final answer
    x = 755,359.88

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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.