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Finding the Third Proportional to 199,891.13 and 317,752.88

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Solution

The third proportional to 199,891.13 and 317,752.88 is: 505,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,891.13 : 317,752.88 = 317,752.88 : x
  2. Step 2: Convert to fraction form
    199,891.13/317,752.88 = 317,752.88/x
  3. Step 3: Cross multiply
    199,891.13x = 317,752.88 × 317,752.88
  4. Step 4: Simplify right side
    199,891.13x = 100,966,889,570.77
  5. Step 5: Solve for x
    x = 100,966,889,570.77/199,891.13
  6. Step 6: Final answer
    x = 505,109.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.