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Finding the Third Proportional to 218,322.13 and 347,166.19

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Solution

The third proportional to 218,322.13 and 347,166.19 is: 552,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,322.13 : 347,166.19 = 347,166.19 : x
  2. Step 2: Convert to fraction form
    218,322.13/347,166.19 = 347,166.19/x
  3. Step 3: Cross multiply
    218,322.13x = 347,166.19 × 347,166.19
  4. Step 4: Simplify right side
    218,322.13x = 120,524,361,743.29
  5. Step 5: Solve for x
    x = 120,524,361,743.29/218,322.13
  6. Step 6: Final answer
    x = 552,048.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.