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Finding the Third Proportional to 130,337 and 284,001

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Solution

The third proportional to 130,337 and 284,001 is: 618,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,337 : 284,001 = 284,001 : x
  2. Step 2: Convert to fraction form
    130,337/284,001 = 284,001/x
  3. Step 3: Cross multiply
    130,337x = 284,001 × 284,001
  4. Step 4: Simplify right side
    130,337x = 80,656,568,001
  5. Step 5: Solve for x
    x = 80,656,568,001/130,337
  6. Step 6: Final answer
    x = 618,830.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.