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Finding the Third Proportional to 146,252 and 317,560

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Solution

The third proportional to 146,252 and 317,560 is: 689,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,252 : 317,560 = 317,560 : x
  2. Step 2: Convert to fraction form
    146,252/317,560 = 317,560/x
  3. Step 3: Cross multiply
    146,252x = 317,560 × 317,560
  4. Step 4: Simplify right side
    146,252x = 100,844,353,600
  5. Step 5: Solve for x
    x = 100,844,353,600/146,252
  6. Step 6: Final answer
    x = 689,524.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.