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Finding the Third Proportional to 160,519 and 248,892

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Solution

The third proportional to 160,519 and 248,892 is: 385,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,519 : 248,892 = 248,892 : x
  2. Step 2: Convert to fraction form
    160,519/248,892 = 248,892/x
  3. Step 3: Cross multiply
    160,519x = 248,892 × 248,892
  4. Step 4: Simplify right side
    160,519x = 61,947,227,664
  5. Step 5: Solve for x
    x = 61,947,227,664/160,519
  6. Step 6: Final answer
    x = 385,918.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.