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Finding the Third Proportional to 142,656 and 305,556

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Solution

The third proportional to 142,656 and 305,556 is: 654,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,656 : 305,556 = 305,556 : x
  2. Step 2: Convert to fraction form
    142,656/305,556 = 305,556/x
  3. Step 3: Cross multiply
    142,656x = 305,556 × 305,556
  4. Step 4: Simplify right side
    142,656x = 93,364,469,136
  5. Step 5: Solve for x
    x = 93,364,469,136/142,656
  6. Step 6: Final answer
    x = 654,472.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.