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Finding the Third Proportional to 146,237 and 318,916

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Solution

The third proportional to 146,237 and 318,916 is: 695,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,237 : 318,916 = 318,916 : x
  2. Step 2: Convert to fraction form
    146,237/318,916 = 318,916/x
  3. Step 3: Cross multiply
    146,237x = 318,916 × 318,916
  4. Step 4: Simplify right side
    146,237x = 101,707,415,056
  5. Step 5: Solve for x
    x = 101,707,415,056/146,237
  6. Step 6: Final answer
    x = 695,497.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.