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Finding the Third Proportional to 163,048.50 and 214,407

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Solution

The third proportional to 163,048.50 and 214,407 is: 281,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,048.50 : 214,407 = 214,407 : x
  2. Step 2: Convert to fraction form
    163,048.50/214,407 = 214,407/x
  3. Step 3: Cross multiply
    163,048.50x = 214,407 × 214,407
  4. Step 4: Simplify right side
    163,048.50x = 45,970,361,649
  5. Step 5: Solve for x
    x = 45,970,361,649/163,048.50
  6. Step 6: Final answer
    x = 281,942.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.