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Finding the Third Proportional to 161,842.50 and 245,012.75

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Solution

The third proportional to 161,842.50 and 245,012.75 is: 370,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,842.50 : 245,012.75 = 245,012.75 : x
  2. Step 2: Convert to fraction form
    161,842.50/245,012.75 = 245,012.75/x
  3. Step 3: Cross multiply
    161,842.50x = 245,012.75 × 245,012.75
  4. Step 4: Simplify right side
    161,842.50x = 60,031,247,662.56
  5. Step 5: Solve for x
    x = 60,031,247,662.56/161,842.50
  6. Step 6: Final answer
    x = 370,923.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.