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Finding the Third Proportional to 201,935 and 417,010

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Solution

The third proportional to 201,935 and 417,010 is: 861,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,935 : 417,010 = 417,010 : x
  2. Step 2: Convert to fraction form
    201,935/417,010 = 417,010/x
  3. Step 3: Cross multiply
    201,935x = 417,010 × 417,010
  4. Step 4: Simplify right side
    201,935x = 173,897,340,100
  5. Step 5: Solve for x
    x = 173,897,340,100/201,935
  6. Step 6: Final answer
    x = 861,155.03

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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.