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Finding the Third Proportional to 114,194.81 and 168,264.84

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Solution

The third proportional to 114,194.81 and 168,264.84 is: 247,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,194.81 : 168,264.84 = 168,264.84 : x
  2. Step 2: Convert to fraction form
    114,194.81/168,264.84 = 168,264.84/x
  3. Step 3: Cross multiply
    114,194.81x = 168,264.84 × 168,264.84
  4. Step 4: Simplify right side
    114,194.81x = 28,313,057,642.21
  5. Step 5: Solve for x
    x = 28,313,057,642.21/114,194.81
  6. Step 6: Final answer
    x = 247,936.46

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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.