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Finding the Third Proportional to 121,090.50 and 329,418

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Solution

The third proportional to 121,090.50 and 329,418 is: 896,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,090.50 : 329,418 = 329,418 : x
  2. Step 2: Convert to fraction form
    121,090.50/329,418 = 329,418/x
  3. Step 3: Cross multiply
    121,090.50x = 329,418 × 329,418
  4. Step 4: Simplify right side
    121,090.50x = 108,516,218,724
  5. Step 5: Solve for x
    x = 108,516,218,724/121,090.50
  6. Step 6: Final answer
    x = 896,157.99

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.