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Finding the Third Proportional to 218,307 and 347,143.50

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Solution

The third proportional to 218,307 and 347,143.50 is: 552,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,307 : 347,143.50 = 347,143.50 : x
  2. Step 2: Convert to fraction form
    218,307/347,143.50 = 347,143.50/x
  3. Step 3: Cross multiply
    218,307x = 347,143.50 × 347,143.50
  4. Step 4: Simplify right side
    218,307x = 120,508,609,592.25
  5. Step 5: Solve for x
    x = 120,508,609,592.25/218,307
  6. Step 6: Final answer
    x = 552,014.41

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