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Finding the Third Proportional to 148,174 and 229,498

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Solution

The third proportional to 148,174 and 229,498 is: 355,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,174 : 229,498 = 229,498 : x
  2. Step 2: Convert to fraction form
    148,174/229,498 = 229,498/x
  3. Step 3: Cross multiply
    148,174x = 229,498 × 229,498
  4. Step 4: Simplify right side
    148,174x = 52,669,332,004
  5. Step 5: Solve for x
    x = 52,669,332,004/148,174
  6. Step 6: Final answer
    x = 355,455.96

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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.