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Finding the Third Proportional to 141,253.88 and 209,437.31

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Solution

The third proportional to 141,253.88 and 209,437.31 is: 310,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,253.88 : 209,437.31 = 209,437.31 : x
  2. Step 2: Convert to fraction form
    141,253.88/209,437.31 = 209,437.31/x
  3. Step 3: Cross multiply
    141,253.88x = 209,437.31 × 209,437.31
  4. Step 4: Simplify right side
    141,253.88x = 43,863,987,867.22
  5. Step 5: Solve for x
    x = 43,863,987,867.22/141,253.88
  6. Step 6: Final answer
    x = 310,532.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.