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Finding the Third Proportional to 245,233 and 329,554

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Solution

The third proportional to 245,233 and 329,554 is: 442,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,233 : 329,554 = 329,554 : x
  2. Step 2: Convert to fraction form
    245,233/329,554 = 329,554/x
  3. Step 3: Cross multiply
    245,233x = 329,554 × 329,554
  4. Step 4: Simplify right side
    245,233x = 108,605,838,916
  5. Step 5: Solve for x
    x = 108,605,838,916/245,233
  6. Step 6: Final answer
    x = 442,867.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.