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Finding the Third Proportional to 215,751 and 469,147.50

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Solution

The third proportional to 215,751 and 469,147.50 is: 1,020,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,751 : 469,147.50 = 469,147.50 : x
  2. Step 2: Convert to fraction form
    215,751/469,147.50 = 469,147.50/x
  3. Step 3: Cross multiply
    215,751x = 469,147.50 × 469,147.50
  4. Step 4: Simplify right side
    215,751x = 220,099,376,756.25
  5. Step 5: Solve for x
    x = 220,099,376,756.25/215,751
  6. Step 6: Final answer
    x = 1,020,154.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.