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Finding the Third Proportional to 160,715 and 242,531

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Solution

The third proportional to 160,715 and 242,531 is: 365,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,715 : 242,531 = 242,531 : x
  2. Step 2: Convert to fraction form
    160,715/242,531 = 242,531/x
  3. Step 3: Cross multiply
    160,715x = 242,531 × 242,531
  4. Step 4: Simplify right side
    160,715x = 58,821,285,961
  5. Step 5: Solve for x
    x = 58,821,285,961/160,715
  6. Step 6: Final answer
    x = 365,997.49

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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.