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Finding the Third Proportional to 112,746 and 242,934

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Solution

The third proportional to 112,746 and 242,934 is: 523,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,746 : 242,934 = 242,934 : x
  2. Step 2: Convert to fraction form
    112,746/242,934 = 242,934/x
  3. Step 3: Cross multiply
    112,746x = 242,934 × 242,934
  4. Step 4: Simplify right side
    112,746x = 59,016,928,356
  5. Step 5: Solve for x
    x = 59,016,928,356/112,746
  6. Step 6: Final answer
    x = 523,450.31

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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.