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Finding the Third Proportional to 114,928 and 168,608

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Solution

The third proportional to 114,928 and 168,608 is: 247,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,928 : 168,608 = 168,608 : x
  2. Step 2: Convert to fraction form
    114,928/168,608 = 168,608/x
  3. Step 3: Cross multiply
    114,928x = 168,608 × 168,608
  4. Step 4: Simplify right side
    114,928x = 28,428,657,664
  5. Step 5: Solve for x
    x = 28,428,657,664/114,928
  6. Step 6: Final answer
    x = 247,360.59

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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.