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Finding the Third Proportional to 156,792 and 370,068

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Solution

The third proportional to 156,792 and 370,068 is: 873,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,792 : 370,068 = 370,068 : x
  2. Step 2: Convert to fraction form
    156,792/370,068 = 370,068/x
  3. Step 3: Cross multiply
    156,792x = 370,068 × 370,068
  4. Step 4: Simplify right side
    156,792x = 136,950,324,624
  5. Step 5: Solve for x
    x = 136,950,324,624/156,792
  6. Step 6: Final answer
    x = 873,452.25

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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.