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Finding the Third Proportional to 125,263.50 and 220,768.50

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Solution

The third proportional to 125,263.50 and 220,768.50 is: 389,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,263.50 : 220,768.50 = 220,768.50 : x
  2. Step 2: Convert to fraction form
    125,263.50/220,768.50 = 220,768.50/x
  3. Step 3: Cross multiply
    125,263.50x = 220,768.50 × 220,768.50
  4. Step 4: Simplify right side
    125,263.50x = 48,738,730,592.25
  5. Step 5: Solve for x
    x = 48,738,730,592.25/125,263.50
  6. Step 6: Final answer
    x = 389,089.64

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.