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Finding the Third Proportional to 158,742 and 216,177

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Solution

The third proportional to 158,742 and 216,177 is: 294,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,742 : 216,177 = 216,177 : x
  2. Step 2: Convert to fraction form
    158,742/216,177 = 216,177/x
  3. Step 3: Cross multiply
    158,742x = 216,177 × 216,177
  4. Step 4: Simplify right side
    158,742x = 46,732,495,329
  5. Step 5: Solve for x
    x = 46,732,495,329/158,742
  6. Step 6: Final answer
    x = 294,392.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.