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Finding the Third Proportional to 94,678 and 207,464

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Solution

The third proportional to 94,678 and 207,464 is: 454,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,678 : 207,464 = 207,464 : x
  2. Step 2: Convert to fraction form
    94,678/207,464 = 207,464/x
  3. Step 3: Cross multiply
    94,678x = 207,464 × 207,464
  4. Step 4: Simplify right side
    94,678x = 43,041,311,296
  5. Step 5: Solve for x
    x = 43,041,311,296/94,678
  6. Step 6: Final answer
    x = 454,607.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.