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Finding the Third Proportional to 106,677 and 229,170

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Solution

The third proportional to 106,677 and 229,170 is: 492,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,677 : 229,170 = 229,170 : x
  2. Step 2: Convert to fraction form
    106,677/229,170 = 229,170/x
  3. Step 3: Cross multiply
    106,677x = 229,170 × 229,170
  4. Step 4: Simplify right side
    106,677x = 52,518,888,900
  5. Step 5: Solve for x
    x = 52,518,888,900/106,677
  6. Step 6: Final answer
    x = 492,316.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.