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Finding the Third Proportional to 163,960 and 232,440

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Solution

The third proportional to 163,960 and 232,440 is: 329,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,960 : 232,440 = 232,440 : x
  2. Step 2: Convert to fraction form
    163,960/232,440 = 232,440/x
  3. Step 3: Cross multiply
    163,960x = 232,440 × 232,440
  4. Step 4: Simplify right side
    163,960x = 54,028,353,600
  5. Step 5: Solve for x
    x = 54,028,353,600/163,960
  6. Step 6: Final answer
    x = 329,521.55

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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.