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Finding the Third Proportional to 140,329.97 and 307,568.81

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Solution

The third proportional to 140,329.97 and 307,568.81 is: 674,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,329.97 : 307,568.81 = 307,568.81 : x
  2. Step 2: Convert to fraction form
    140,329.97/307,568.81 = 307,568.81/x
  3. Step 3: Cross multiply
    140,329.97x = 307,568.81 × 307,568.81
  4. Step 4: Simplify right side
    140,329.97x = 94,598,574,422.66
  5. Step 5: Solve for x
    x = 94,598,574,422.66/140,329.97
  6. Step 6: Final answer
    x = 674,115.27

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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.