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Finding the Third Proportional to 163,872 and 247,310

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Solution

The third proportional to 163,872 and 247,310 is: 373,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872 : 247,310 = 247,310 : x
  2. Step 2: Convert to fraction form
    163,872/247,310 = 247,310/x
  3. Step 3: Cross multiply
    163,872x = 247,310 × 247,310
  4. Step 4: Simplify right side
    163,872x = 61,162,236,100
  5. Step 5: Solve for x
    x = 61,162,236,100/163,872
  6. Step 6: Final answer
    x = 373,231.77

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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.