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Finding the Third Proportional to 218,329.50 and 347,178

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Solution

The third proportional to 218,329.50 and 347,178 is: 552,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,329.50 : 347,178 = 347,178 : x
  2. Step 2: Convert to fraction form
    218,329.50/347,178 = 347,178/x
  3. Step 3: Cross multiply
    218,329.50x = 347,178 × 347,178
  4. Step 4: Simplify right side
    218,329.50x = 120,532,563,684
  5. Step 5: Solve for x
    x = 120,532,563,684/218,329.50
  6. Step 6: Final answer
    x = 552,067.24

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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.