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Finding the Third Proportional to 108,730 and 224,921

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Solution

The third proportional to 108,730 and 224,921 is: 465,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,730 : 224,921 = 224,921 : x
  2. Step 2: Convert to fraction form
    108,730/224,921 = 224,921/x
  3. Step 3: Cross multiply
    108,730x = 224,921 × 224,921
  4. Step 4: Simplify right side
    108,730x = 50,589,456,241
  5. Step 5: Solve for x
    x = 50,589,456,241/108,730
  6. Step 6: Final answer
    x = 465,275.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.