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Finding the Third Proportional to 160,200.28 and 350,324.16

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Solution

The third proportional to 160,200.28 and 350,324.16 is: 766,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,200.28 : 350,324.16 = 350,324.16 : x
  2. Step 2: Convert to fraction form
    160,200.28/350,324.16 = 350,324.16/x
  3. Step 3: Cross multiply
    160,200.28x = 350,324.16 × 350,324.16
  4. Step 4: Simplify right side
    160,200.28x = 122,727,014,452.27
  5. Step 5: Solve for x
    x = 122,727,014,452.27/160,200.28
  6. Step 6: Final answer
    x = 766,084.89

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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.