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Finding the Third Proportional to 146,544 and 319,200

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Solution

The third proportional to 146,544 and 319,200 is: 695,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,544 : 319,200 = 319,200 : x
  2. Step 2: Convert to fraction form
    146,544/319,200 = 319,200/x
  3. Step 3: Cross multiply
    146,544x = 319,200 × 319,200
  4. Step 4: Simplify right side
    146,544x = 101,888,640,000
  5. Step 5: Solve for x
    x = 101,888,640,000/146,544
  6. Step 6: Final answer
    x = 695,276.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.