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Finding the Third Proportional to 146,316 and 218,850

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Solution

The third proportional to 146,316 and 218,850 is: 327,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,316 : 218,850 = 218,850 : x
  2. Step 2: Convert to fraction form
    146,316/218,850 = 218,850/x
  3. Step 3: Cross multiply
    146,316x = 218,850 × 218,850
  4. Step 4: Simplify right side
    146,316x = 47,895,322,500
  5. Step 5: Solve for x
    x = 47,895,322,500/146,316
  6. Step 6: Final answer
    x = 327,341.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.