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Finding the Third Proportional to 140,266.69 and 298,054.69

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Solution

The third proportional to 140,266.69 and 298,054.69 is: 633,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,266.69 : 298,054.69 = 298,054.69 : x
  2. Step 2: Convert to fraction form
    140,266.69/298,054.69 = 298,054.69/x
  3. Step 3: Cross multiply
    140,266.69x = 298,054.69 × 298,054.69
  4. Step 4: Simplify right side
    140,266.69x = 88,836,596,740.72
  5. Step 5: Solve for x
    x = 88,836,596,740.72/140,266.69
  6. Step 6: Final answer
    x = 633,340.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.