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Finding the Third Proportional to 158,768 and 216,216

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Solution

The third proportional to 158,768 and 216,216 is: 294,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,768 : 216,216 = 216,216 : x
  2. Step 2: Convert to fraction form
    158,768/216,216 = 216,216/x
  3. Step 3: Cross multiply
    158,768x = 216,216 × 216,216
  4. Step 4: Simplify right side
    158,768x = 46,749,358,656
  5. Step 5: Solve for x
    x = 46,749,358,656/158,768
  6. Step 6: Final answer
    x = 294,450.76

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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.