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Finding the Third Proportional to 173,084 and 372,020

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Solution

The third proportional to 173,084 and 372,020 is: 799,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,084 : 372,020 = 372,020 : x
  2. Step 2: Convert to fraction form
    173,084/372,020 = 372,020/x
  3. Step 3: Cross multiply
    173,084x = 372,020 × 372,020
  4. Step 4: Simplify right side
    173,084x = 138,398,880,400
  5. Step 5: Solve for x
    x = 138,398,880,400/173,084
  6. Step 6: Final answer
    x = 799,605.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.