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Finding the Third Proportional to 174,872.50 and 374,551.50

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Solution

The third proportional to 174,872.50 and 374,551.50 is: 802,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,872.50 : 374,551.50 = 374,551.50 : x
  2. Step 2: Convert to fraction form
    174,872.50/374,551.50 = 374,551.50/x
  3. Step 3: Cross multiply
    174,872.50x = 374,551.50 × 374,551.50
  4. Step 4: Simplify right side
    174,872.50x = 140,288,826,152.25
  5. Step 5: Solve for x
    x = 140,288,826,152.25/174,872.50
  6. Step 6: Final answer
    x = 802,234.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.