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Finding the Third Proportional to 253,161 and 381,685.50

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Solution

The third proportional to 253,161 and 381,685.50 is: 575,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,161 : 381,685.50 = 381,685.50 : x
  2. Step 2: Convert to fraction form
    253,161/381,685.50 = 381,685.50/x
  3. Step 3: Cross multiply
    253,161x = 381,685.50 × 381,685.50
  4. Step 4: Simplify right side
    253,161x = 145,683,820,910.25
  5. Step 5: Solve for x
    x = 145,683,820,910.25/253,161
  6. Step 6: Final answer
    x = 575,459.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.