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Finding the Third Proportional to 213,198.75 and 319,470

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Solution

The third proportional to 213,198.75 and 319,470 is: 478,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,198.75 : 319,470 = 319,470 : x
  2. Step 2: Convert to fraction form
    213,198.75/319,470 = 319,470/x
  3. Step 3: Cross multiply
    213,198.75x = 319,470 × 319,470
  4. Step 4: Simplify right side
    213,198.75x = 102,061,080,900
  5. Step 5: Solve for x
    x = 102,061,080,900/213,198.75
  6. Step 6: Final answer
    x = 478,713.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.