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Finding the Third Proportional to 158,184 and 244,260

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Solution

The third proportional to 158,184 and 244,260 is: 377,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,184 : 244,260 = 244,260 : x
  2. Step 2: Convert to fraction form
    158,184/244,260 = 244,260/x
  3. Step 3: Cross multiply
    158,184x = 244,260 × 244,260
  4. Step 4: Simplify right side
    158,184x = 59,662,947,600
  5. Step 5: Solve for x
    x = 59,662,947,600/158,184
  6. Step 6: Final answer
    x = 377,174.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.