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Finding the Third Proportional to 129,363 and 282,774

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Solution

The third proportional to 129,363 and 282,774 is: 618,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,363 : 282,774 = 282,774 : x
  2. Step 2: Convert to fraction form
    129,363/282,774 = 282,774/x
  3. Step 3: Cross multiply
    129,363x = 282,774 × 282,774
  4. Step 4: Simplify right side
    129,363x = 79,961,135,076
  5. Step 5: Solve for x
    x = 79,961,135,076/129,363
  6. Step 6: Final answer
    x = 618,114.42

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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.