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Finding the Third Proportional to 106,941 and 229,674

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Solution

The third proportional to 106,941 and 229,674 is: 493,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,941 : 229,674 = 229,674 : x
  2. Step 2: Convert to fraction form
    106,941/229,674 = 229,674/x
  3. Step 3: Cross multiply
    106,941x = 229,674 × 229,674
  4. Step 4: Simplify right side
    106,941x = 52,750,146,276
  5. Step 5: Solve for x
    x = 52,750,146,276/106,941
  6. Step 6: Final answer
    x = 493,264.01

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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.