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Finding the Third Proportional to 129,705 and 284,013

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Solution

The third proportional to 129,705 and 284,013 is: 621,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705 : 284,013 = 284,013 : x
  2. Step 2: Convert to fraction form
    129,705/284,013 = 284,013/x
  3. Step 3: Cross multiply
    129,705x = 284,013 × 284,013
  4. Step 4: Simplify right side
    129,705x = 80,663,384,169
  5. Step 5: Solve for x
    x = 80,663,384,169/129,705
  6. Step 6: Final answer
    x = 621,898.80

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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.