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Finding the Third Proportional to 84,432 and 183,498

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Solution

The third proportional to 84,432 and 183,498 is: 398,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,432 : 183,498 = 183,498 : x
  2. Step 2: Convert to fraction form
    84,432/183,498 = 183,498/x
  3. Step 3: Cross multiply
    84,432x = 183,498 × 183,498
  4. Step 4: Simplify right side
    84,432x = 33,671,516,004
  5. Step 5: Solve for x
    x = 33,671,516,004/84,432
  6. Step 6: Final answer
    x = 398,800.41

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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.