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Finding the Third Proportional to 145,493 and 313,922

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Solution

The third proportional to 145,493 and 313,922 is: 677,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493 : 313,922 = 313,922 : x
  2. Step 2: Convert to fraction form
    145,493/313,922 = 313,922/x
  3. Step 3: Cross multiply
    145,493x = 313,922 × 313,922
  4. Step 4: Simplify right side
    145,493x = 98,547,022,084
  5. Step 5: Solve for x
    x = 98,547,022,084/145,493
  6. Step 6: Final answer
    x = 677,331.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.