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Finding the Third Proportional to 163,632 and 221,014

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Solution

The third proportional to 163,632 and 221,014 is: 298,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,632 : 221,014 = 221,014 : x
  2. Step 2: Convert to fraction form
    163,632/221,014 = 221,014/x
  3. Step 3: Cross multiply
    163,632x = 221,014 × 221,014
  4. Step 4: Simplify right side
    163,632x = 48,847,188,196
  5. Step 5: Solve for x
    x = 48,847,188,196/163,632
  6. Step 6: Final answer
    x = 298,518.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.