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Finding the Third Proportional to 147,380.63 and 315,789.75

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Solution

The third proportional to 147,380.63 and 315,789.75 is: 676,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,380.63 : 315,789.75 = 315,789.75 : x
  2. Step 2: Convert to fraction form
    147,380.63/315,789.75 = 315,789.75/x
  3. Step 3: Cross multiply
    147,380.63x = 315,789.75 × 315,789.75
  4. Step 4: Simplify right side
    147,380.63x = 99,723,166,205.06
  5. Step 5: Solve for x
    x = 99,723,166,205.06/147,380.63
  6. Step 6: Final answer
    x = 676,636.88

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