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Finding the Third Proportional to 215,390.50 and 469,948

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Solution

The third proportional to 215,390.50 and 469,948 is: 1,025,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,390.50 : 469,948 = 469,948 : x
  2. Step 2: Convert to fraction form
    215,390.50/469,948 = 469,948/x
  3. Step 3: Cross multiply
    215,390.50x = 469,948 × 469,948
  4. Step 4: Simplify right side
    215,390.50x = 220,851,122,704
  5. Step 5: Solve for x
    x = 220,851,122,704/215,390.50
  6. Step 6: Final answer
    x = 1,025,352.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.