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Finding the Third Proportional to 163,744.88 and 260,380.13

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Solution

The third proportional to 163,744.88 and 260,380.13 is: 414,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,744.88 : 260,380.13 = 260,380.13 : x
  2. Step 2: Convert to fraction form
    163,744.88/260,380.13 = 260,380.13/x
  3. Step 3: Cross multiply
    163,744.88x = 260,380.13 × 260,380.13
  4. Step 4: Simplify right side
    163,744.88x = 67,797,809,495.02
  5. Step 5: Solve for x
    x = 67,797,809,495.02/163,744.88
  6. Step 6: Final answer
    x = 414,045.38

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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.