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Finding the Third Proportional to 163,410.75 and 353,963.25

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Solution

The third proportional to 163,410.75 and 353,963.25 is: 766,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,410.75 : 353,963.25 = 353,963.25 : x
  2. Step 2: Convert to fraction form
    163,410.75/353,963.25 = 353,963.25/x
  3. Step 3: Cross multiply
    163,410.75x = 353,963.25 × 353,963.25
  4. Step 4: Simplify right side
    163,410.75x = 125,289,982,350.56
  5. Step 5: Solve for x
    x = 125,289,982,350.56/163,410.75
  6. Step 6: Final answer
    x = 766,718.12

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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.