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Finding the Third Proportional to 160,908.75 and 353,324.25

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Solution

The third proportional to 160,908.75 and 353,324.25 is: 775,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,908.75 : 353,324.25 = 353,324.25 : x
  2. Step 2: Convert to fraction form
    160,908.75/353,324.25 = 353,324.25/x
  3. Step 3: Cross multiply
    160,908.75x = 353,324.25 × 353,324.25
  4. Step 4: Simplify right side
    160,908.75x = 124,838,025,638.06
  5. Step 5: Solve for x
    x = 124,838,025,638.06/160,908.75
  6. Step 6: Final answer
    x = 775,831.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.