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Finding the Third Proportional to 174,879 and 375,232.50

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Solution

The third proportional to 174,879 and 375,232.50 is: 805,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,879 : 375,232.50 = 375,232.50 : x
  2. Step 2: Convert to fraction form
    174,879/375,232.50 = 375,232.50/x
  3. Step 3: Cross multiply
    174,879x = 375,232.50 × 375,232.50
  4. Step 4: Simplify right side
    174,879x = 140,799,429,056.25
  5. Step 5: Solve for x
    x = 140,799,429,056.25/174,879
  6. Step 6: Final answer
    x = 805,124.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.