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Finding the Third Proportional to 119,857.50 and 262,260

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Solution

The third proportional to 119,857.50 and 262,260 is: 573,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,857.50 : 262,260 = 262,260 : x
  2. Step 2: Convert to fraction form
    119,857.50/262,260 = 262,260/x
  3. Step 3: Cross multiply
    119,857.50x = 262,260 × 262,260
  4. Step 4: Simplify right side
    119,857.50x = 68,780,307,600
  5. Step 5: Solve for x
    x = 68,780,307,600/119,857.50
  6. Step 6: Final answer
    x = 573,850.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.