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Finding the Third Proportional to 146,213 and 318,850

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Solution

The third proportional to 146,213 and 318,850 is: 695,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,213 : 318,850 = 318,850 : x
  2. Step 2: Convert to fraction form
    146,213/318,850 = 318,850/x
  3. Step 3: Cross multiply
    146,213x = 318,850 × 318,850
  4. Step 4: Simplify right side
    146,213x = 101,665,322,500
  5. Step 5: Solve for x
    x = 101,665,322,500/146,213
  6. Step 6: Final answer
    x = 695,323.42

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