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Finding the Third Proportional to 140,712.75 and 308,196.75

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Solution

The third proportional to 140,712.75 and 308,196.75 is: 675,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,712.75 : 308,196.75 = 308,196.75 : x
  2. Step 2: Convert to fraction form
    140,712.75/308,196.75 = 308,196.75/x
  3. Step 3: Cross multiply
    140,712.75x = 308,196.75 × 308,196.75
  4. Step 4: Simplify right side
    140,712.75x = 94,985,236,710.56
  5. Step 5: Solve for x
    x = 94,985,236,710.56/140,712.75
  6. Step 6: Final answer
    x = 675,029.35

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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.