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Finding the Third Proportional to 211,832 and 314,098

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Solution

The third proportional to 211,832 and 314,098 is: 465,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,832 : 314,098 = 314,098 : x
  2. Step 2: Convert to fraction form
    211,832/314,098 = 314,098/x
  3. Step 3: Cross multiply
    211,832x = 314,098 × 314,098
  4. Step 4: Simplify right side
    211,832x = 98,657,553,604
  5. Step 5: Solve for x
    x = 98,657,553,604/211,832
  6. Step 6: Final answer
    x = 465,734.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.