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Finding the Third Proportional to 148,306 and 229,830

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Solution

The third proportional to 148,306 and 229,830 is: 356,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,306 : 229,830 = 229,830 : x
  2. Step 2: Convert to fraction form
    148,306/229,830 = 229,830/x
  3. Step 3: Cross multiply
    148,306x = 229,830 × 229,830
  4. Step 4: Simplify right side
    148,306x = 52,821,828,900
  5. Step 5: Solve for x
    x = 52,821,828,900/148,306
  6. Step 6: Final answer
    x = 356,167.85

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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.