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Finding the Third Proportional to 163,956 and 232,434

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Solution

The third proportional to 163,956 and 232,434 is: 329,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,956 : 232,434 = 232,434 : x
  2. Step 2: Convert to fraction form
    163,956/232,434 = 232,434/x
  3. Step 3: Cross multiply
    163,956x = 232,434 × 232,434
  4. Step 4: Simplify right side
    163,956x = 54,025,564,356
  5. Step 5: Solve for x
    x = 54,025,564,356/163,956
  6. Step 6: Final answer
    x = 329,512.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.