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Finding the Third Proportional to 104,384.25 and 227,587.50

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Solution

The third proportional to 104,384.25 and 227,587.50 is: 496,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,384.25 : 227,587.50 = 227,587.50 : x
  2. Step 2: Convert to fraction form
    104,384.25/227,587.50 = 227,587.50/x
  3. Step 3: Cross multiply
    104,384.25x = 227,587.50 × 227,587.50
  4. Step 4: Simplify right side
    104,384.25x = 51,796,070,156.25
  5. Step 5: Solve for x
    x = 51,796,070,156.25/104,384.25
  6. Step 6: Final answer
    x = 496,205.80

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