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Finding the Third Proportional to 160,564.50 and 379,721.25

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Solution

The third proportional to 160,564.50 and 379,721.25 is: 898,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564.50 : 379,721.25 = 379,721.25 : x
  2. Step 2: Convert to fraction form
    160,564.50/379,721.25 = 379,721.25/x
  3. Step 3: Cross multiply
    160,564.50x = 379,721.25 × 379,721.25
  4. Step 4: Simplify right side
    160,564.50x = 144,188,227,701.56
  5. Step 5: Solve for x
    x = 144,188,227,701.56/160,564.50
  6. Step 6: Final answer
    x = 898,008.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.