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Finding the Third Proportional to 163,818 and 247,230

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Solution

The third proportional to 163,818 and 247,230 is: 373,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,818 : 247,230 = 247,230 : x
  2. Step 2: Convert to fraction form
    163,818/247,230 = 247,230/x
  3. Step 3: Cross multiply
    163,818x = 247,230 × 247,230
  4. Step 4: Simplify right side
    163,818x = 61,122,672,900
  5. Step 5: Solve for x
    x = 61,122,672,900/163,818
  6. Step 6: Final answer
    x = 373,113.29

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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.