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Finding the Third Proportional to 163,945.50 and 260,691

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Solution

The third proportional to 163,945.50 and 260,691 is: 414,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,945.50 : 260,691 = 260,691 : x
  2. Step 2: Convert to fraction form
    163,945.50/260,691 = 260,691/x
  3. Step 3: Cross multiply
    163,945.50x = 260,691 × 260,691
  4. Step 4: Simplify right side
    163,945.50x = 67,959,797,481
  5. Step 5: Solve for x
    x = 67,959,797,481/163,945.50
  6. Step 6: Final answer
    x = 414,526.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.