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Finding the Third Proportional to 159,986 and 228,633

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Solution

The third proportional to 159,986 and 228,633 is: 326,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,986 : 228,633 = 228,633 : x
  2. Step 2: Convert to fraction form
    159,986/228,633 = 228,633/x
  3. Step 3: Cross multiply
    159,986x = 228,633 × 228,633
  4. Step 4: Simplify right side
    159,986x = 52,273,048,689
  5. Step 5: Solve for x
    x = 52,273,048,689/159,986
  6. Step 6: Final answer
    x = 326,735.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.