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Finding the Third Proportional to 160,977.38 and 349,611.19

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Solution

The third proportional to 160,977.38 and 349,611.19 is: 759,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,977.38 : 349,611.19 = 349,611.19 : x
  2. Step 2: Convert to fraction form
    160,977.38/349,611.19 = 349,611.19/x
  3. Step 3: Cross multiply
    160,977.38x = 349,611.19 × 349,611.19
  4. Step 4: Simplify right side
    160,977.38x = 122,227,982,425.16
  5. Step 5: Solve for x
    x = 122,227,982,425.16/160,977.38
  6. Step 6: Final answer
    x = 759,286.72

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Why These Related Problems?

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