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Finding the Third Proportional to 86,308 and 185,048

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Solution

The third proportional to 86,308 and 185,048 is: 396,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,308 : 185,048 = 185,048 : x
  2. Step 2: Convert to fraction form
    86,308/185,048 = 185,048/x
  3. Step 3: Cross multiply
    86,308x = 185,048 × 185,048
  4. Step 4: Simplify right side
    86,308x = 34,242,762,304
  5. Step 5: Solve for x
    x = 34,242,762,304/86,308
  6. Step 6: Final answer
    x = 396,750.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.