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Finding the Third Proportional to 145,794 and 318,916

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Solution

The third proportional to 145,794 and 318,916 is: 697,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,794 : 318,916 = 318,916 : x
  2. Step 2: Convert to fraction form
    145,794/318,916 = 318,916/x
  3. Step 3: Cross multiply
    145,794x = 318,916 × 318,916
  4. Step 4: Simplify right side
    145,794x = 101,707,415,056
  5. Step 5: Solve for x
    x = 101,707,415,056/145,794
  6. Step 6: Final answer
    x = 697,610.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.