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Finding the Third Proportional to 105,889.50 and 232,515

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Solution

The third proportional to 105,889.50 and 232,515 is: 510,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,889.50 : 232,515 = 232,515 : x
  2. Step 2: Convert to fraction form
    105,889.50/232,515 = 232,515/x
  3. Step 3: Cross multiply
    105,889.50x = 232,515 × 232,515
  4. Step 4: Simplify right side
    105,889.50x = 54,063,225,225
  5. Step 5: Solve for x
    x = 54,063,225,225/105,889.50
  6. Step 6: Final answer
    x = 510,562.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.