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Finding the Third Proportional to 160,704 and 242,496

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Solution

The third proportional to 160,704 and 242,496 is: 365,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,704 : 242,496 = 242,496 : x
  2. Step 2: Convert to fraction form
    160,704/242,496 = 242,496/x
  3. Step 3: Cross multiply
    160,704x = 242,496 × 242,496
  4. Step 4: Simplify right side
    160,704x = 58,804,310,016
  5. Step 5: Solve for x
    x = 58,804,310,016/160,704
  6. Step 6: Final answer
    x = 365,916.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.