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Finding the Third Proportional to 162,524 and 259,530

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Solution

The third proportional to 162,524 and 259,530 is: 414,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,524 : 259,530 = 259,530 : x
  2. Step 2: Convert to fraction form
    162,524/259,530 = 259,530/x
  3. Step 3: Cross multiply
    162,524x = 259,530 × 259,530
  4. Step 4: Simplify right side
    162,524x = 67,355,820,900
  5. Step 5: Solve for x
    x = 67,355,820,900/162,524
  6. Step 6: Final answer
    x = 414,436.15

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.