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Finding the Third Proportional to 218,322 and 347,164.50

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Solution

The third proportional to 218,322 and 347,164.50 is: 552,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,322 : 347,164.50 = 347,164.50 : x
  2. Step 2: Convert to fraction form
    218,322/347,164.50 = 347,164.50/x
  3. Step 3: Cross multiply
    218,322x = 347,164.50 × 347,164.50
  4. Step 4: Simplify right side
    218,322x = 120,523,190,060.25
  5. Step 5: Solve for x
    x = 120,523,190,060.25/218,322
  6. Step 6: Final answer
    x = 552,043.27

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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.