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Finding the Third Proportional to 190,276.59 and 418,218.19

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Solution

The third proportional to 190,276.59 and 418,218.19 is: 919,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,276.59 : 418,218.19 = 418,218.19 : x
  2. Step 2: Convert to fraction form
    190,276.59/418,218.19 = 418,218.19/x
  3. Step 3: Cross multiply
    190,276.59x = 418,218.19 × 418,218.19
  4. Step 4: Simplify right side
    190,276.59x = 174,906,452,355.79
  5. Step 5: Solve for x
    x = 174,906,452,355.79/190,276.59
  6. Step 6: Final answer
    x = 919,222.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.