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Finding the Third Proportional to 193,453.31 and 313,399.13

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Solution

The third proportional to 193,453.31 and 313,399.13 is: 507,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,453.31 : 313,399.13 = 313,399.13 : x
  2. Step 2: Convert to fraction form
    193,453.31/313,399.13 = 313,399.13/x
  3. Step 3: Cross multiply
    193,453.31x = 313,399.13 × 313,399.13
  4. Step 4: Simplify right side
    193,453.31x = 98,219,011,550.77
  5. Step 5: Solve for x
    x = 98,219,011,550.77/193,453.31
  6. Step 6: Final answer
    x = 507,714.29

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.