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Finding the Third Proportional to 158,276 and 244,747

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Solution

The third proportional to 158,276 and 244,747 is: 378,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,276 : 244,747 = 244,747 : x
  2. Step 2: Convert to fraction form
    158,276/244,747 = 244,747/x
  3. Step 3: Cross multiply
    158,276x = 244,747 × 244,747
  4. Step 4: Simplify right side
    158,276x = 59,901,094,009
  5. Step 5: Solve for x
    x = 59,901,094,009/158,276
  6. Step 6: Final answer
    x = 378,459.74

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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.