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Finding the Third Proportional to 132,181.50 and 188,430.75

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Solution

The third proportional to 132,181.50 and 188,430.75 is: 268,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,181.50 : 188,430.75 = 188,430.75 : x
  2. Step 2: Convert to fraction form
    132,181.50/188,430.75 = 188,430.75/x
  3. Step 3: Cross multiply
    132,181.50x = 188,430.75 × 188,430.75
  4. Step 4: Simplify right side
    132,181.50x = 35,506,147,545.56
  5. Step 5: Solve for x
    x = 35,506,147,545.56/132,181.50
  6. Step 6: Final answer
    x = 268,616.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.