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Finding the Third Proportional to 148,730 and 223,425

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Solution

The third proportional to 148,730 and 223,425 is: 335,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,730 : 223,425 = 223,425 : x
  2. Step 2: Convert to fraction form
    148,730/223,425 = 223,425/x
  3. Step 3: Cross multiply
    148,730x = 223,425 × 223,425
  4. Step 4: Simplify right side
    148,730x = 49,918,730,625
  5. Step 5: Solve for x
    x = 49,918,730,625/148,730
  6. Step 6: Final answer
    x = 335,633.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.