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Finding the Third Proportional to 215,095.50 and 467,505

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Solution

The third proportional to 215,095.50 and 467,505 is: 1,016,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,095.50 : 467,505 = 467,505 : x
  2. Step 2: Convert to fraction form
    215,095.50/467,505 = 467,505/x
  3. Step 3: Cross multiply
    215,095.50x = 467,505 × 467,505
  4. Step 4: Simplify right side
    215,095.50x = 218,560,925,025
  5. Step 5: Solve for x
    x = 218,560,925,025/215,095.50
  6. Step 6: Final answer
    x = 1,016,111.10

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Why These Related Problems?

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