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Finding the Third Proportional to 201,938 and 417,014

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Solution

The third proportional to 201,938 and 417,014 is: 861,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938 : 417,014 = 417,014 : x
  2. Step 2: Convert to fraction form
    201,938/417,014 = 417,014/x
  3. Step 3: Cross multiply
    201,938x = 417,014 × 417,014
  4. Step 4: Simplify right side
    201,938x = 173,900,676,196
  5. Step 5: Solve for x
    x = 173,900,676,196/201,938
  6. Step 6: Final answer
    x = 861,158.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.