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Finding the Third Proportional to 118,867 and 243,200

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Solution

The third proportional to 118,867 and 243,200 is: 497,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,867 : 243,200 = 243,200 : x
  2. Step 2: Convert to fraction form
    118,867/243,200 = 243,200/x
  3. Step 3: Cross multiply
    118,867x = 243,200 × 243,200
  4. Step 4: Simplify right side
    118,867x = 59,146,240,000
  5. Step 5: Solve for x
    x = 59,146,240,000/118,867
  6. Step 6: Final answer
    x = 497,583.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.