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Finding the Third Proportional to 87,618 and 183,984

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Solution

The third proportional to 87,618 and 183,984 is: 386,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,618 : 183,984 = 183,984 : x
  2. Step 2: Convert to fraction form
    87,618/183,984 = 183,984/x
  3. Step 3: Cross multiply
    87,618x = 183,984 × 183,984
  4. Step 4: Simplify right side
    87,618x = 33,850,112,256
  5. Step 5: Solve for x
    x = 33,850,112,256/87,618
  6. Step 6: Final answer
    x = 386,337.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.