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Finding the Third Proportional to 105,328.13 and 225,418.50

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Solution

The third proportional to 105,328.13 and 225,418.50 is: 482,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,328.13 : 225,418.50 = 225,418.50 : x
  2. Step 2: Convert to fraction form
    105,328.13/225,418.50 = 225,418.50/x
  3. Step 3: Cross multiply
    105,328.13x = 225,418.50 × 225,418.50
  4. Step 4: Simplify right side
    105,328.13x = 50,813,500,142.25
  5. Step 5: Solve for x
    x = 50,813,500,142.25/105,328.13
  6. Step 6: Final answer
    x = 482,430.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.