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Finding the Third Proportional to 84,492 and 183,582

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Solution

The third proportional to 84,492 and 183,582 is: 398,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,492 : 183,582 = 183,582 : x
  2. Step 2: Convert to fraction form
    84,492/183,582 = 183,582/x
  3. Step 3: Cross multiply
    84,492x = 183,582 × 183,582
  4. Step 4: Simplify right side
    84,492x = 33,702,350,724
  5. Step 5: Solve for x
    x = 33,702,350,724/84,492
  6. Step 6: Final answer
    x = 398,882.15

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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.