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Finding the Third Proportional to 144,691.50 and 317,394

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Solution

The third proportional to 144,691.50 and 317,394 is: 696,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,691.50 : 317,394 = 317,394 : x
  2. Step 2: Convert to fraction form
    144,691.50/317,394 = 317,394/x
  3. Step 3: Cross multiply
    144,691.50x = 317,394 × 317,394
  4. Step 4: Simplify right side
    144,691.50x = 100,738,951,236
  5. Step 5: Solve for x
    x = 100,738,951,236/144,691.50
  6. Step 6: Final answer
    x = 696,232.68

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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.