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Finding the Third Proportional to 96,291 and 224,982

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Solution

The third proportional to 96,291 and 224,982 is: 525,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,291 : 224,982 = 224,982 : x
  2. Step 2: Convert to fraction form
    96,291/224,982 = 224,982/x
  3. Step 3: Cross multiply
    96,291x = 224,982 × 224,982
  4. Step 4: Simplify right side
    96,291x = 50,616,900,324
  5. Step 5: Solve for x
    x = 50,616,900,324/96,291
  6. Step 6: Final answer
    x = 525,665.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.