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Finding the Third Proportional to 160,098 and 344,484

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Solution

The third proportional to 160,098 and 344,484 is: 741,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,098 : 344,484 = 344,484 : x
  2. Step 2: Convert to fraction form
    160,098/344,484 = 344,484/x
  3. Step 3: Cross multiply
    160,098x = 344,484 × 344,484
  4. Step 4: Simplify right side
    160,098x = 118,669,226,256
  5. Step 5: Solve for x
    x = 118,669,226,256/160,098
  6. Step 6: Final answer
    x = 741,228.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.