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Finding the Third Proportional to 157,380.47 and 336,846.09

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Solution

The third proportional to 157,380.47 and 336,846.09 is: 720,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,380.47 : 336,846.09 = 336,846.09 : x
  2. Step 2: Convert to fraction form
    157,380.47/336,846.09 = 336,846.09/x
  3. Step 3: Cross multiply
    157,380.47x = 336,846.09 × 336,846.09
  4. Step 4: Simplify right side
    157,380.47x = 113,465,290,874.63
  5. Step 5: Solve for x
    x = 113,465,290,874.63/157,380.47
  6. Step 6: Final answer
    x = 720,961.70

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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.