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Finding the Third Proportional to 195,514.25 and 428,397.50

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Solution

The third proportional to 195,514.25 and 428,397.50 is: 938,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,514.25 : 428,397.50 = 428,397.50 : x
  2. Step 2: Convert to fraction form
    195,514.25/428,397.50 = 428,397.50/x
  3. Step 3: Cross multiply
    195,514.25x = 428,397.50 × 428,397.50
  4. Step 4: Simplify right side
    195,514.25x = 183,524,418,006.25
  5. Step 5: Solve for x
    x = 183,524,418,006.25/195,514.25
  6. Step 6: Final answer
    x = 938,675.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.