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Finding the Third Proportional to 174,973.50 and 271,451.25

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Solution

The third proportional to 174,973.50 and 271,451.25 is: 421,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,973.50 : 271,451.25 = 271,451.25 : x
  2. Step 2: Convert to fraction form
    174,973.50/271,451.25 = 271,451.25/x
  3. Step 3: Cross multiply
    174,973.50x = 271,451.25 × 271,451.25
  4. Step 4: Simplify right side
    174,973.50x = 73,685,781,126.56
  5. Step 5: Solve for x
    x = 73,685,781,126.56/174,973.50
  6. Step 6: Final answer
    x = 421,125.38

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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.