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Finding the Third Proportional to 156,543 and 335,222.25

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Solution

The third proportional to 156,543 and 335,222.25 is: 717,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,543 : 335,222.25 = 335,222.25 : x
  2. Step 2: Convert to fraction form
    156,543/335,222.25 = 335,222.25/x
  3. Step 3: Cross multiply
    156,543x = 335,222.25 × 335,222.25
  4. Step 4: Simplify right side
    156,543x = 112,373,956,895.06
  5. Step 5: Solve for x
    x = 112,373,956,895.06/156,543
  6. Step 6: Final answer
    x = 717,847.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.