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Finding the Third Proportional to 112,527 and 244,372

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Solution

The third proportional to 112,527 and 244,372 is: 530,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,527 : 244,372 = 244,372 : x
  2. Step 2: Convert to fraction form
    112,527/244,372 = 244,372/x
  3. Step 3: Cross multiply
    112,527x = 244,372 × 244,372
  4. Step 4: Simplify right side
    112,527x = 59,717,674,384
  5. Step 5: Solve for x
    x = 59,717,674,384/112,527
  6. Step 6: Final answer
    x = 530,696.41

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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.