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Finding the Third Proportional to 141,961.50 and 297,067.50

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Solution

The third proportional to 141,961.50 and 297,067.50 is: 621,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,961.50 : 297,067.50 = 297,067.50 : x
  2. Step 2: Convert to fraction form
    141,961.50/297,067.50 = 297,067.50/x
  3. Step 3: Cross multiply
    141,961.50x = 297,067.50 × 297,067.50
  4. Step 4: Simplify right side
    141,961.50x = 88,249,099,556.25
  5. Step 5: Solve for x
    x = 88,249,099,556.25/141,961.50
  6. Step 6: Final answer
    x = 621,641.08

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.