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Finding the Third Proportional to 104,260 and 227,635.50

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Solution

The third proportional to 104,260 and 227,635.50 is: 497,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,260 : 227,635.50 = 227,635.50 : x
  2. Step 2: Convert to fraction form
    104,260/227,635.50 = 227,635.50/x
  3. Step 3: Cross multiply
    104,260x = 227,635.50 × 227,635.50
  4. Step 4: Simplify right side
    104,260x = 51,817,920,860.25
  5. Step 5: Solve for x
    x = 51,817,920,860.25/104,260
  6. Step 6: Final answer
    x = 497,006.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.