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Finding the Third Proportional to 148,730 and 226,580

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Solution

The third proportional to 148,730 and 226,580 is: 345,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,730 : 226,580 = 226,580 : x
  2. Step 2: Convert to fraction form
    148,730/226,580 = 226,580/x
  3. Step 3: Cross multiply
    148,730x = 226,580 × 226,580
  4. Step 4: Simplify right side
    148,730x = 51,338,496,400
  5. Step 5: Solve for x
    x = 51,338,496,400/148,730
  6. Step 6: Final answer
    x = 345,179.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.