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Finding the Third Proportional to 172,047 and 404,839.88

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Solution

The third proportional to 172,047 and 404,839.88 is: 952,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,047 : 404,839.88 = 404,839.88 : x
  2. Step 2: Convert to fraction form
    172,047/404,839.88 = 404,839.88/x
  3. Step 3: Cross multiply
    172,047x = 404,839.88 × 404,839.88
  4. Step 4: Simplify right side
    172,047x = 163,895,324,390.02
  5. Step 5: Solve for x
    x = 163,895,324,390.02/172,047
  6. Step 6: Final answer
    x = 952,619.48

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.