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Finding the Third Proportional to 146,218 and 318,860

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Solution

The third proportional to 146,218 and 318,860 is: 695,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218 : 318,860 = 318,860 : x
  2. Step 2: Convert to fraction form
    146,218/318,860 = 318,860/x
  3. Step 3: Cross multiply
    146,218x = 318,860 × 318,860
  4. Step 4: Simplify right side
    146,218x = 101,671,699,600
  5. Step 5: Solve for x
    x = 101,671,699,600/146,218
  6. Step 6: Final answer
    x = 695,343.25

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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.