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Finding the Third Proportional to 163,839 and 260,512.50

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Solution

The third proportional to 163,839 and 260,512.50 is: 414,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,839 : 260,512.50 = 260,512.50 : x
  2. Step 2: Convert to fraction form
    163,839/260,512.50 = 260,512.50/x
  3. Step 3: Cross multiply
    163,839x = 260,512.50 × 260,512.50
  4. Step 4: Simplify right side
    163,839x = 67,866,762,656.25
  5. Step 5: Solve for x
    x = 67,866,762,656.25/163,839
  6. Step 6: Final answer
    x = 414,228.37

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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.