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Finding the Third Proportional to 180,332 and 385,680

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Solution

The third proportional to 180,332 and 385,680 is: 824,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,332 : 385,680 = 385,680 : x
  2. Step 2: Convert to fraction form
    180,332/385,680 = 385,680/x
  3. Step 3: Cross multiply
    180,332x = 385,680 × 385,680
  4. Step 4: Simplify right side
    180,332x = 148,749,062,400
  5. Step 5: Solve for x
    x = 148,749,062,400/180,332
  6. Step 6: Final answer
    x = 824,862.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.