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Finding the Third Proportional to 160,996.78 and 349,672.78

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Solution

The third proportional to 160,996.78 and 349,672.78 is: 759,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,996.78 : 349,672.78 = 349,672.78 : x
  2. Step 2: Convert to fraction form
    160,996.78/349,672.78 = 349,672.78/x
  3. Step 3: Cross multiply
    160,996.78x = 349,672.78 × 349,672.78
  4. Step 4: Simplify right side
    160,996.78x = 122,271,053,947.11
  5. Step 5: Solve for x
    x = 122,271,053,947.11/160,996.78
  6. Step 6: Final answer
    x = 759,462.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.