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Finding the Third Proportional to 215,662.50 and 469,113

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Solution

The third proportional to 215,662.50 and 469,113 is: 1,020,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,662.50 : 469,113 = 469,113 : x
  2. Step 2: Convert to fraction form
    215,662.50/469,113 = 469,113/x
  3. Step 3: Cross multiply
    215,662.50x = 469,113 × 469,113
  4. Step 4: Simplify right side
    215,662.50x = 220,067,006,769
  5. Step 5: Solve for x
    x = 220,067,006,769/215,662.50
  6. Step 6: Final answer
    x = 1,020,423.15

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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.