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Finding the Third Proportional to 191,866.50 and 268,375.50

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Solution

The third proportional to 191,866.50 and 268,375.50 is: 375,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,866.50 : 268,375.50 = 268,375.50 : x
  2. Step 2: Convert to fraction form
    191,866.50/268,375.50 = 268,375.50/x
  3. Step 3: Cross multiply
    191,866.50x = 268,375.50 × 268,375.50
  4. Step 4: Simplify right side
    191,866.50x = 72,025,409,000.25
  5. Step 5: Solve for x
    x = 72,025,409,000.25/191,866.50
  6. Step 6: Final answer
    x = 375,393.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.