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Finding the Third Proportional to 174,426.75 and 269,871.75

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Solution

The third proportional to 174,426.75 and 269,871.75 is: 417,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,426.75 : 269,871.75 = 269,871.75 : x
  2. Step 2: Convert to fraction form
    174,426.75/269,871.75 = 269,871.75/x
  3. Step 3: Cross multiply
    174,426.75x = 269,871.75 × 269,871.75
  4. Step 4: Simplify right side
    174,426.75x = 72,830,761,448.06
  5. Step 5: Solve for x
    x = 72,830,761,448.06/174,426.75
  6. Step 6: Final answer
    x = 417,543.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.