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Finding the Third Proportional to 106,242 and 229,908

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Solution

The third proportional to 106,242 and 229,908 is: 497,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,242 : 229,908 = 229,908 : x
  2. Step 2: Convert to fraction form
    106,242/229,908 = 229,908/x
  3. Step 3: Cross multiply
    106,242x = 229,908 × 229,908
  4. Step 4: Simplify right side
    106,242x = 52,857,688,464
  5. Step 5: Solve for x
    x = 52,857,688,464/106,242
  6. Step 6: Final answer
    x = 497,521.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.