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Finding the Third Proportional to 154,866 and 236,742

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Solution

The third proportional to 154,866 and 236,742 is: 361,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,866 : 236,742 = 236,742 : x
  2. Step 2: Convert to fraction form
    154,866/236,742 = 236,742/x
  3. Step 3: Cross multiply
    154,866x = 236,742 × 236,742
  4. Step 4: Simplify right side
    154,866x = 56,046,774,564
  5. Step 5: Solve for x
    x = 56,046,774,564/154,866
  6. Step 6: Final answer
    x = 361,904.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.