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Finding the Third Proportional to 140,828.63 and 313,142.63

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Solution

The third proportional to 140,828.63 and 313,142.63 is: 696,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,828.63 : 313,142.63 = 313,142.63 : x
  2. Step 2: Convert to fraction form
    140,828.63/313,142.63 = 313,142.63/x
  3. Step 3: Cross multiply
    140,828.63x = 313,142.63 × 313,142.63
  4. Step 4: Simplify right side
    140,828.63x = 98,058,303,591.89
  5. Step 5: Solve for x
    x = 98,058,303,591.89/140,828.63
  6. Step 6: Final answer
    x = 696,295.26

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.