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Finding the Third Proportional to 160,728.38 and 350,029.50

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Solution

The third proportional to 160,728.38 and 350,029.50 is: 762,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,728.38 : 350,029.50 = 350,029.50 : x
  2. Step 2: Convert to fraction form
    160,728.38/350,029.50 = 350,029.50/x
  3. Step 3: Cross multiply
    160,728.38x = 350,029.50 × 350,029.50
  4. Step 4: Simplify right side
    160,728.38x = 122,520,650,870.25
  5. Step 5: Solve for x
    x = 122,520,650,870.25/160,728.38
  6. Step 6: Final answer
    x = 762,283.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.