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Finding the Third Proportional to 83,292 and 180,528

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Solution

The third proportional to 83,292 and 180,528 is: 391,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292 : 180,528 = 180,528 : x
  2. Step 2: Convert to fraction form
    83,292/180,528 = 180,528/x
  3. Step 3: Cross multiply
    83,292x = 180,528 × 180,528
  4. Step 4: Simplify right side
    83,292x = 32,590,358,784
  5. Step 5: Solve for x
    x = 32,590,358,784/83,292
  6. Step 6: Final answer
    x = 391,278.38

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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.