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Finding the Third Proportional to 163,924 and 247,391

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Solution

The third proportional to 163,924 and 247,391 is: 373,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,924 : 247,391 = 247,391 : x
  2. Step 2: Convert to fraction form
    163,924/247,391 = 247,391/x
  3. Step 3: Cross multiply
    163,924x = 247,391 × 247,391
  4. Step 4: Simplify right side
    163,924x = 61,202,306,881
  5. Step 5: Solve for x
    x = 61,202,306,881/163,924
  6. Step 6: Final answer
    x = 373,357.82

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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.