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Finding the Third Proportional to 144,743.25 and 317,524.88

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Solution

The third proportional to 144,743.25 and 317,524.88 is: 696,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,743.25 : 317,524.88 = 317,524.88 : x
  2. Step 2: Convert to fraction form
    144,743.25/317,524.88 = 317,524.88/x
  3. Step 3: Cross multiply
    144,743.25x = 317,524.88 × 317,524.88
  4. Step 4: Simplify right side
    144,743.25x = 100,822,046,243.77
  5. Step 5: Solve for x
    x = 100,822,046,243.77/144,743.25
  6. Step 6: Final answer
    x = 696,557.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.