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Finding the Third Proportional to 112,524.75 and 244,368

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Solution

The third proportional to 112,524.75 and 244,368 is: 530,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,524.75 : 244,368 = 244,368 : x
  2. Step 2: Convert to fraction form
    112,524.75/244,368 = 244,368/x
  3. Step 3: Cross multiply
    112,524.75x = 244,368 × 244,368
  4. Step 4: Simplify right side
    112,524.75x = 59,715,719,424
  5. Step 5: Solve for x
    x = 59,715,719,424/112,524.75
  6. Step 6: Final answer
    x = 530,689.64

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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.