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Finding the Third Proportional to 148,266 and 229,491

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Solution

The third proportional to 148,266 and 229,491 is: 355,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,266 : 229,491 = 229,491 : x
  2. Step 2: Convert to fraction form
    148,266/229,491 = 229,491/x
  3. Step 3: Cross multiply
    148,266x = 229,491 × 229,491
  4. Step 4: Simplify right side
    148,266x = 52,666,119,081
  5. Step 5: Solve for x
    x = 52,666,119,081/148,266
  6. Step 6: Final answer
    x = 355,213.73

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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.