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Finding the Third Proportional to 112,321.69 and 243,339.19

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Solution

The third proportional to 112,321.69 and 243,339.19 is: 527,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,321.69 : 243,339.19 = 243,339.19 : x
  2. Step 2: Convert to fraction form
    112,321.69/243,339.19 = 243,339.19/x
  3. Step 3: Cross multiply
    112,321.69x = 243,339.19 × 243,339.19
  4. Step 4: Simplify right side
    112,321.69x = 59,213,960,173.16
  5. Step 5: Solve for x
    x = 59,213,960,173.16/112,321.69
  6. Step 6: Final answer
    x = 527,181.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.