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Finding the Third Proportional to 109,950.25 and 240,143.50

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Solution

The third proportional to 109,950.25 and 240,143.50 is: 524,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,950.25 : 240,143.50 = 240,143.50 : x
  2. Step 2: Convert to fraction form
    109,950.25/240,143.50 = 240,143.50/x
  3. Step 3: Cross multiply
    109,950.25x = 240,143.50 × 240,143.50
  4. Step 4: Simplify right side
    109,950.25x = 57,668,900,592.25
  5. Step 5: Solve for x
    x = 57,668,900,592.25/109,950.25
  6. Step 6: Final answer
    x = 524,499.95

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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.