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Finding the Third Proportional to 218,946 and 329,984

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Solution

The third proportional to 218,946 and 329,984 is: 497,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,946 : 329,984 = 329,984 : x
  2. Step 2: Convert to fraction form
    218,946/329,984 = 329,984/x
  3. Step 3: Cross multiply
    218,946x = 329,984 × 329,984
  4. Step 4: Simplify right side
    218,946x = 108,889,440,256
  5. Step 5: Solve for x
    x = 108,889,440,256/218,946
  6. Step 6: Final answer
    x = 497,334.69

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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.