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Finding the Third Proportional to 133,225.50 and 286,215

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Solution

The third proportional to 133,225.50 and 286,215 is: 614,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,225.50 : 286,215 = 286,215 : x
  2. Step 2: Convert to fraction form
    133,225.50/286,215 = 286,215/x
  3. Step 3: Cross multiply
    133,225.50x = 286,215 × 286,215
  4. Step 4: Simplify right side
    133,225.50x = 81,919,026,225
  5. Step 5: Solve for x
    x = 81,919,026,225/133,225.50
  6. Step 6: Final answer
    x = 614,889.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.