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Finding the Third Proportional to 111,132 and 243,342

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Solution

The third proportional to 111,132 and 243,342 is: 532,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,132 : 243,342 = 243,342 : x
  2. Step 2: Convert to fraction form
    111,132/243,342 = 243,342/x
  3. Step 3: Cross multiply
    111,132x = 243,342 × 243,342
  4. Step 4: Simplify right side
    111,132x = 59,215,328,964
  5. Step 5: Solve for x
    x = 59,215,328,964/111,132
  6. Step 6: Final answer
    x = 532,837.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.