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Finding the Third Proportional to 129,361 and 282,770

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Solution

The third proportional to 129,361 and 282,770 is: 618,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,361 : 282,770 = 282,770 : x
  2. Step 2: Convert to fraction form
    129,361/282,770 = 282,770/x
  3. Step 3: Cross multiply
    129,361x = 282,770 × 282,770
  4. Step 4: Simplify right side
    129,361x = 79,958,872,900
  5. Step 5: Solve for x
    x = 79,958,872,900/129,361
  6. Step 6: Final answer
    x = 618,106.48

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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.