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Finding the Third Proportional to 163,920 and 247,035

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Solution

The third proportional to 163,920 and 247,035 is: 372,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,920 : 247,035 = 247,035 : x
  2. Step 2: Convert to fraction form
    163,920/247,035 = 247,035/x
  3. Step 3: Cross multiply
    163,920x = 247,035 × 247,035
  4. Step 4: Simplify right side
    163,920x = 61,026,291,225
  5. Step 5: Solve for x
    x = 61,026,291,225/163,920
  6. Step 6: Final answer
    x = 372,293.14

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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.