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Finding the Third Proportional to 174,938.06 and 247,743.56

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Solution

The third proportional to 174,938.06 and 247,743.56 is: 350,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,938.06 : 247,743.56 = 247,743.56 : x
  2. Step 2: Convert to fraction form
    174,938.06/247,743.56 = 247,743.56/x
  3. Step 3: Cross multiply
    174,938.06x = 247,743.56 × 247,743.56
  4. Step 4: Simplify right side
    174,938.06x = 61,376,872,760.19
  5. Step 5: Solve for x
    x = 61,376,872,760.19/174,938.06
  6. Step 6: Final answer
    x = 350,849.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.