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Finding the Third Proportional to 84,501 and 183,599

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Solution

The third proportional to 84,501 and 183,599 is: 398,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,501 : 183,599 = 183,599 : x
  2. Step 2: Convert to fraction form
    84,501/183,599 = 183,599/x
  3. Step 3: Cross multiply
    84,501x = 183,599 × 183,599
  4. Step 4: Simplify right side
    84,501x = 33,708,592,801
  5. Step 5: Solve for x
    x = 33,708,592,801/84,501
  6. Step 6: Final answer
    x = 398,913.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.