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Finding the Third Proportional to 161,358.25 and 350,702.25

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Solution

The third proportional to 161,358.25 and 350,702.25 is: 762,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,358.25 : 350,702.25 = 350,702.25 : x
  2. Step 2: Convert to fraction form
    161,358.25/350,702.25 = 350,702.25/x
  3. Step 3: Cross multiply
    161,358.25x = 350,702.25 × 350,702.25
  4. Step 4: Simplify right side
    161,358.25x = 122,992,068,155.06
  5. Step 5: Solve for x
    x = 122,992,068,155.06/161,358.25
  6. Step 6: Final answer
    x = 762,229.81

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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.