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Finding the Third Proportional to 170,531 and 284,201

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Solution

The third proportional to 170,531 and 284,201 is: 473,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,531 : 284,201 = 284,201 : x
  2. Step 2: Convert to fraction form
    170,531/284,201 = 284,201/x
  3. Step 3: Cross multiply
    170,531x = 284,201 × 284,201
  4. Step 4: Simplify right side
    170,531x = 80,770,208,401
  5. Step 5: Solve for x
    x = 80,770,208,401/170,531
  6. Step 6: Final answer
    x = 473,639.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.