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Finding the Third Proportional to 85,760 and 185,344

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Solution

The third proportional to 85,760 and 185,344 is: 400,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,760 : 185,344 = 185,344 : x
  2. Step 2: Convert to fraction form
    85,760/185,344 = 185,344/x
  3. Step 3: Cross multiply
    85,760x = 185,344 × 185,344
  4. Step 4: Simplify right side
    85,760x = 34,352,398,336
  5. Step 5: Solve for x
    x = 34,352,398,336/85,760
  6. Step 6: Final answer
    x = 400,564.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.