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Finding the Third Proportional to 120,560 and 244,528

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Solution

The third proportional to 120,560 and 244,528 is: 495,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,560 : 244,528 = 244,528 : x
  2. Step 2: Convert to fraction form
    120,560/244,528 = 244,528/x
  3. Step 3: Cross multiply
    120,560x = 244,528 × 244,528
  4. Step 4: Simplify right side
    120,560x = 59,793,942,784
  5. Step 5: Solve for x
    x = 59,793,942,784/120,560
  6. Step 6: Final answer
    x = 495,968.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.