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Finding the Third Proportional to 163,904 and 247,363

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Solution

The third proportional to 163,904 and 247,363 is: 373,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,904 : 247,363 = 247,363 : x
  2. Step 2: Convert to fraction form
    163,904/247,363 = 247,363/x
  3. Step 3: Cross multiply
    163,904x = 247,363 × 247,363
  4. Step 4: Simplify right side
    163,904x = 61,188,453,769
  5. Step 5: Solve for x
    x = 61,188,453,769/163,904
  6. Step 6: Final answer
    x = 373,318.86

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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.