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Finding the Third Proportional to 120,841.50 and 259,185

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Solution

The third proportional to 120,841.50 and 259,185 is: 555,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,841.50 : 259,185 = 259,185 : x
  2. Step 2: Convert to fraction form
    120,841.50/259,185 = 259,185/x
  3. Step 3: Cross multiply
    120,841.50x = 259,185 × 259,185
  4. Step 4: Simplify right side
    120,841.50x = 67,176,864,225
  5. Step 5: Solve for x
    x = 67,176,864,225/120,841.50
  6. Step 6: Final answer
    x = 555,908.89

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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.