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Finding the Third Proportional to 114,474.83 and 168,282.25

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Solution

The third proportional to 114,474.83 and 168,282.25 is: 247,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,474.83 : 168,282.25 = 168,282.25 : x
  2. Step 2: Convert to fraction form
    114,474.83/168,282.25 = 168,282.25/x
  3. Step 3: Cross multiply
    114,474.83x = 168,282.25 × 168,282.25
  4. Step 4: Simplify right side
    114,474.83x = 28,318,914,350.36
  5. Step 5: Solve for x
    x = 28,318,914,350.36/114,474.83
  6. Step 6: Final answer
    x = 247,381.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.