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Finding the Third Proportional to 159,692 and 250,508

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Solution

The third proportional to 159,692 and 250,508 is: 392,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,692 : 250,508 = 250,508 : x
  2. Step 2: Convert to fraction form
    159,692/250,508 = 250,508/x
  3. Step 3: Cross multiply
    159,692x = 250,508 × 250,508
  4. Step 4: Simplify right side
    159,692x = 62,754,258,064
  5. Step 5: Solve for x
    x = 62,754,258,064/159,692
  6. Step 6: Final answer
    x = 392,970.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.