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Finding the Third Proportional to 144,583.31 and 313,299.56

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Solution

The third proportional to 144,583.31 and 313,299.56 is: 678,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,583.31 : 313,299.56 = 313,299.56 : x
  2. Step 2: Convert to fraction form
    144,583.31/313,299.56 = 313,299.56/x
  3. Step 3: Cross multiply
    144,583.31x = 313,299.56 × 313,299.56
  4. Step 4: Simplify right side
    144,583.31x = 98,156,615,862.69
  5. Step 5: Solve for x
    x = 98,156,615,862.69/144,583.31
  6. Step 6: Final answer
    x = 678,893.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.