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Finding the Third Proportional to 112,995 and 243,287

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Solution

The third proportional to 112,995 and 243,287 is: 523,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,995 : 243,287 = 243,287 : x
  2. Step 2: Convert to fraction form
    112,995/243,287 = 243,287/x
  3. Step 3: Cross multiply
    112,995x = 243,287 × 243,287
  4. Step 4: Simplify right side
    112,995x = 59,188,564,369
  5. Step 5: Solve for x
    x = 59,188,564,369/112,995
  6. Step 6: Final answer
    x = 523,815.78

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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.