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Finding the Third Proportional to 230,230.75 and 469,823.50

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Solution

The third proportional to 230,230.75 and 469,823.50 is: 958,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,230.75 : 469,823.50 = 469,823.50 : x
  2. Step 2: Convert to fraction form
    230,230.75/469,823.50 = 469,823.50/x
  3. Step 3: Cross multiply
    230,230.75x = 469,823.50 × 469,823.50
  4. Step 4: Simplify right side
    230,230.75x = 220,734,121,152.25
  5. Step 5: Solve for x
    x = 220,734,121,152.25/230,230.75
  6. Step 6: Final answer
    x = 958,751.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.