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Finding the Third Proportional to 218,546 and 329,358

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Solution

The third proportional to 218,546 and 329,358 is: 496,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,546 : 329,358 = 329,358 : x
  2. Step 2: Convert to fraction form
    218,546/329,358 = 329,358/x
  3. Step 3: Cross multiply
    218,546x = 329,358 × 329,358
  4. Step 4: Simplify right side
    218,546x = 108,476,692,164
  5. Step 5: Solve for x
    x = 108,476,692,164/218,546
  6. Step 6: Final answer
    x = 496,356.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.