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Finding the Third Proportional to 218,440 and 329,668

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Solution

The third proportional to 218,440 and 329,668 is: 497,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,440 : 329,668 = 329,668 : x
  2. Step 2: Convert to fraction form
    218,440/329,668 = 329,668/x
  3. Step 3: Cross multiply
    218,440x = 329,668 × 329,668
  4. Step 4: Simplify right side
    218,440x = 108,680,990,224
  5. Step 5: Solve for x
    x = 108,680,990,224/218,440
  6. Step 6: Final answer
    x = 497,532.46

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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.