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Finding the Third Proportional to 148,209 and 229,837

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Solution

The third proportional to 148,209 and 229,837 is: 356,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,209 : 229,837 = 229,837 : x
  2. Step 2: Convert to fraction form
    148,209/229,837 = 229,837/x
  3. Step 3: Cross multiply
    148,209x = 229,837 × 229,837
  4. Step 4: Simplify right side
    148,209x = 52,825,046,569
  5. Step 5: Solve for x
    x = 52,825,046,569/148,209
  6. Step 6: Final answer
    x = 356,422.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.