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Finding the Third Proportional to 138,300.75 and 281,677.50

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Solution

The third proportional to 138,300.75 and 281,677.50 is: 573,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300.75 : 281,677.50 = 281,677.50 : x
  2. Step 2: Convert to fraction form
    138,300.75/281,677.50 = 281,677.50/x
  3. Step 3: Cross multiply
    138,300.75x = 281,677.50 × 281,677.50
  4. Step 4: Simplify right side
    138,300.75x = 79,342,214,006.25
  5. Step 5: Solve for x
    x = 79,342,214,006.25/138,300.75
  6. Step 6: Final answer
    x = 573,693.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.