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Finding the Third Proportional to 160,252.50 and 350,273.25

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Solution

The third proportional to 160,252.50 and 350,273.25 is: 765,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,252.50 : 350,273.25 = 350,273.25 : x
  2. Step 2: Convert to fraction form
    160,252.50/350,273.25 = 350,273.25/x
  3. Step 3: Cross multiply
    160,252.50x = 350,273.25 × 350,273.25
  4. Step 4: Simplify right side
    160,252.50x = 122,691,349,665.56
  5. Step 5: Solve for x
    x = 122,691,349,665.56/160,252.50
  6. Step 6: Final answer
    x = 765,612.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.