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Finding the Third Proportional to 106,239 and 229,902

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Solution

The third proportional to 106,239 and 229,902 is: 497,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,239 : 229,902 = 229,902 : x
  2. Step 2: Convert to fraction form
    106,239/229,902 = 229,902/x
  3. Step 3: Cross multiply
    106,239x = 229,902 × 229,902
  4. Step 4: Simplify right side
    106,239x = 52,854,929,604
  5. Step 5: Solve for x
    x = 52,854,929,604/106,239
  6. Step 6: Final answer
    x = 497,509.67

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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.