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Finding the Third Proportional to 174,375 and 246,809.25

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Solution

The third proportional to 174,375 and 246,809.25 is: 349,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,375 : 246,809.25 = 246,809.25 : x
  2. Step 2: Convert to fraction form
    174,375/246,809.25 = 246,809.25/x
  3. Step 3: Cross multiply
    174,375x = 246,809.25 × 246,809.25
  4. Step 4: Simplify right side
    174,375x = 60,914,805,885.56
  5. Step 5: Solve for x
    x = 60,914,805,885.56/174,375
  6. Step 6: Final answer
    x = 349,332.22

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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.