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Finding the Third Proportional to 140,976 and 317,440

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Solution

The third proportional to 140,976 and 317,440 is: 714,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976 : 317,440 = 317,440 : x
  2. Step 2: Convert to fraction form
    140,976/317,440 = 317,440/x
  3. Step 3: Cross multiply
    140,976x = 317,440 × 317,440
  4. Step 4: Simplify right side
    140,976x = 100,768,153,600
  5. Step 5: Solve for x
    x = 100,768,153,600/140,976
  6. Step 6: Final answer
    x = 714,789.42

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.