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Finding the Third Proportional to 231,642 and 500,186.25

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Solution

The third proportional to 231,642 and 500,186.25 is: 1,080,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,642 : 500,186.25 = 500,186.25 : x
  2. Step 2: Convert to fraction form
    231,642/500,186.25 = 500,186.25/x
  3. Step 3: Cross multiply
    231,642x = 500,186.25 × 500,186.25
  4. Step 4: Simplify right side
    231,642x = 250,186,284,689.06
  5. Step 5: Solve for x
    x = 250,186,284,689.06/231,642
  6. Step 6: Final answer
    x = 1,080,055.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.