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Finding the Third Proportional to 158,144 and 244,604

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Solution

The third proportional to 158,144 and 244,604 is: 378,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,144 : 244,604 = 244,604 : x
  2. Step 2: Convert to fraction form
    158,144/244,604 = 244,604/x
  3. Step 3: Cross multiply
    158,144x = 244,604 × 244,604
  4. Step 4: Simplify right side
    158,144x = 59,831,116,816
  5. Step 5: Solve for x
    x = 59,831,116,816/158,144
  6. Step 6: Final answer
    x = 378,333.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.