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Finding the Third Proportional to 156,218 and 236,518

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Solution

The third proportional to 156,218 and 236,518 is: 358,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,218 : 236,518 = 236,518 : x
  2. Step 2: Convert to fraction form
    156,218/236,518 = 236,518/x
  3. Step 3: Cross multiply
    156,218x = 236,518 × 236,518
  4. Step 4: Simplify right side
    156,218x = 55,940,764,324
  5. Step 5: Solve for x
    x = 55,940,764,324/156,218
  6. Step 6: Final answer
    x = 358,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.