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Finding the Third Proportional to 197,541 and 418,592.25

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Solution

The third proportional to 197,541 and 418,592.25 is: 887,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,541 : 418,592.25 = 418,592.25 : x
  2. Step 2: Convert to fraction form
    197,541/418,592.25 = 418,592.25/x
  3. Step 3: Cross multiply
    197,541x = 418,592.25 × 418,592.25
  4. Step 4: Simplify right side
    197,541x = 175,219,471,760.06
  5. Step 5: Solve for x
    x = 175,219,471,760.06/197,541
  6. Step 6: Final answer
    x = 887,003.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.