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Finding the Third Proportional to 201,055 and 432,999

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Solution

The third proportional to 201,055 and 432,999 is: 932,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,055 : 432,999 = 432,999 : x
  2. Step 2: Convert to fraction form
    201,055/432,999 = 432,999/x
  3. Step 3: Cross multiply
    201,055x = 432,999 × 432,999
  4. Step 4: Simplify right side
    201,055x = 187,488,134,001
  5. Step 5: Solve for x
    x = 187,488,134,001/201,055
  6. Step 6: Final answer
    x = 932,521.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.