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Finding the Third Proportional to 114,306 and 247,680

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Solution

The third proportional to 114,306 and 247,680 is: 536,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,306 : 247,680 = 247,680 : x
  2. Step 2: Convert to fraction form
    114,306/247,680 = 247,680/x
  3. Step 3: Cross multiply
    114,306x = 247,680 × 247,680
  4. Step 4: Simplify right side
    114,306x = 61,345,382,400
  5. Step 5: Solve for x
    x = 61,345,382,400/114,306
  6. Step 6: Final answer
    x = 536,676.84

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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.