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Finding the Third Proportional to 201,187.13 and 418,898.25

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Solution

The third proportional to 201,187.13 and 418,898.25 is: 872,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,187.13 : 418,898.25 = 418,898.25 : x
  2. Step 2: Convert to fraction form
    201,187.13/418,898.25 = 418,898.25/x
  3. Step 3: Cross multiply
    201,187.13x = 418,898.25 × 418,898.25
  4. Step 4: Simplify right side
    201,187.13x = 175,475,743,853.06
  5. Step 5: Solve for x
    x = 175,475,743,853.06/201,187.13
  6. Step 6: Final answer
    x = 872,201.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.