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Finding the Third Proportional to 129,382 and 282,901

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Solution

The third proportional to 129,382 and 282,901 is: 618,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,382 : 282,901 = 282,901 : x
  2. Step 2: Convert to fraction form
    129,382/282,901 = 282,901/x
  3. Step 3: Cross multiply
    129,382x = 282,901 × 282,901
  4. Step 4: Simplify right side
    129,382x = 80,032,975,801
  5. Step 5: Solve for x
    x = 80,032,975,801/129,382
  6. Step 6: Final answer
    x = 618,578.90

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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.