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Finding the Third Proportional to 148,352 and 223,800

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Solution

The third proportional to 148,352 and 223,800 is: 337,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,352 : 223,800 = 223,800 : x
  2. Step 2: Convert to fraction form
    148,352/223,800 = 223,800/x
  3. Step 3: Cross multiply
    148,352x = 223,800 × 223,800
  4. Step 4: Simplify right side
    148,352x = 50,086,440,000
  5. Step 5: Solve for x
    x = 50,086,440,000/148,352
  6. Step 6: Final answer
    x = 337,618.91

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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.