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Finding the Third Proportional to 148,270 and 229,497

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Solution

The third proportional to 148,270 and 229,497 is: 355,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,270 : 229,497 = 229,497 : x
  2. Step 2: Convert to fraction form
    148,270/229,497 = 229,497/x
  3. Step 3: Cross multiply
    148,270x = 229,497 × 229,497
  4. Step 4: Simplify right side
    148,270x = 52,668,873,009
  5. Step 5: Solve for x
    x = 52,668,873,009/148,270
  6. Step 6: Final answer
    x = 355,222.72

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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.