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Finding the Third Proportional to 140,566.75 and 306,091.75

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Solution

The third proportional to 140,566.75 and 306,091.75 is: 666,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,566.75 : 306,091.75 = 306,091.75 : x
  2. Step 2: Convert to fraction form
    140,566.75/306,091.75 = 306,091.75/x
  3. Step 3: Cross multiply
    140,566.75x = 306,091.75 × 306,091.75
  4. Step 4: Simplify right side
    140,566.75x = 93,692,159,418.06
  5. Step 5: Solve for x
    x = 93,692,159,418.06/140,566.75
  6. Step 6: Final answer
    x = 666,531.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.