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Finding the Third Proportional to 156,019.50 and 223,110

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Solution

The third proportional to 156,019.50 and 223,110 is: 319,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,019.50 : 223,110 = 223,110 : x
  2. Step 2: Convert to fraction form
    156,019.50/223,110 = 223,110/x
  3. Step 3: Cross multiply
    156,019.50x = 223,110 × 223,110
  4. Step 4: Simplify right side
    156,019.50x = 49,778,072,100
  5. Step 5: Solve for x
    x = 49,778,072,100/156,019.50
  6. Step 6: Final answer
    x = 319,050.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.