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Finding the Third Proportional to 105,471.75 and 230,977.50

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Solution

The third proportional to 105,471.75 and 230,977.50 is: 505,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,471.75 : 230,977.50 = 230,977.50 : x
  2. Step 2: Convert to fraction form
    105,471.75/230,977.50 = 230,977.50/x
  3. Step 3: Cross multiply
    105,471.75x = 230,977.50 × 230,977.50
  4. Step 4: Simplify right side
    105,471.75x = 53,350,605,506.25
  5. Step 5: Solve for x
    x = 53,350,605,506.25/105,471.75
  6. Step 6: Final answer
    x = 505,828.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.