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Finding the Third Proportional to 163,742.50 and 260,375.50

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Solution

The third proportional to 163,742.50 and 260,375.50 is: 414,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,742.50 : 260,375.50 = 260,375.50 : x
  2. Step 2: Convert to fraction form
    163,742.50/260,375.50 = 260,375.50/x
  3. Step 3: Cross multiply
    163,742.50x = 260,375.50 × 260,375.50
  4. Step 4: Simplify right side
    163,742.50x = 67,795,401,000.25
  5. Step 5: Solve for x
    x = 67,795,401,000.25/163,742.50
  6. Step 6: Final answer
    x = 414,036.68

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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.