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Finding the Third Proportional to 136,425.50 and 278,399

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Solution

The third proportional to 136,425.50 and 278,399 is: 568,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,425.50 : 278,399 = 278,399 : x
  2. Step 2: Convert to fraction form
    136,425.50/278,399 = 278,399/x
  3. Step 3: Cross multiply
    136,425.50x = 278,399 × 278,399
  4. Step 4: Simplify right side
    136,425.50x = 77,506,003,201
  5. Step 5: Solve for x
    x = 77,506,003,201/136,425.50
  6. Step 6: Final answer
    x = 568,119.62

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