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Finding the Third Proportional to 138,068 and 295,800

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Solution

The third proportional to 138,068 and 295,800 is: 633,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,068 : 295,800 = 295,800 : x
  2. Step 2: Convert to fraction form
    138,068/295,800 = 295,800/x
  3. Step 3: Cross multiply
    138,068x = 295,800 × 295,800
  4. Step 4: Simplify right side
    138,068x = 87,497,640,000
  5. Step 5: Solve for x
    x = 87,497,640,000/138,068
  6. Step 6: Final answer
    x = 633,728.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.