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Finding the Third Proportional to 148,104.70 and 223,461.28

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Solution

The third proportional to 148,104.70 and 223,461.28 is: 337,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,104.70 : 223,461.28 = 223,461.28 : x
  2. Step 2: Convert to fraction form
    148,104.70/223,461.28 = 223,461.28/x
  3. Step 3: Cross multiply
    148,104.70x = 223,461.28 × 223,461.28
  4. Step 4: Simplify right side
    148,104.70x = 49,934,944,217.89
  5. Step 5: Solve for x
    x = 49,934,944,217.89/148,104.70
  6. Step 6: Final answer
    x = 337,159.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.