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Finding the Third Proportional to 112,966 and 244,527

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Solution

The third proportional to 112,966 and 244,527 is: 529,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,966 : 244,527 = 244,527 : x
  2. Step 2: Convert to fraction form
    112,966/244,527 = 244,527/x
  3. Step 3: Cross multiply
    112,966x = 244,527 × 244,527
  4. Step 4: Simplify right side
    112,966x = 59,793,453,729
  5. Step 5: Solve for x
    x = 59,793,453,729/112,966
  6. Step 6: Final answer
    x = 529,304.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.