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Finding the Third Proportional to 85,168 and 198,928

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Solution

The third proportional to 85,168 and 198,928 is: 464,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,168 : 198,928 = 198,928 : x
  2. Step 2: Convert to fraction form
    85,168/198,928 = 198,928/x
  3. Step 3: Cross multiply
    85,168x = 198,928 × 198,928
  4. Step 4: Simplify right side
    85,168x = 39,572,349,184
  5. Step 5: Solve for x
    x = 39,572,349,184/85,168
  6. Step 6: Final answer
    x = 464,638.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.