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Finding the Third Proportional to 112,471 and 229,455

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Solution

The third proportional to 112,471 and 229,455 is: 468,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,471 : 229,455 = 229,455 : x
  2. Step 2: Convert to fraction form
    112,471/229,455 = 229,455/x
  3. Step 3: Cross multiply
    112,471x = 229,455 × 229,455
  4. Step 4: Simplify right side
    112,471x = 52,649,597,025
  5. Step 5: Solve for x
    x = 52,649,597,025/112,471
  6. Step 6: Final answer
    x = 468,117.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.