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Finding the Third Proportional to 163,756.69 and 220,051.69

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Solution

The third proportional to 163,756.69 and 220,051.69 is: 295,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,756.69 : 220,051.69 = 220,051.69 : x
  2. Step 2: Convert to fraction form
    163,756.69/220,051.69 = 220,051.69/x
  3. Step 3: Cross multiply
    163,756.69x = 220,051.69 × 220,051.69
  4. Step 4: Simplify right side
    163,756.69x = 48,422,745,171.60
  5. Step 5: Solve for x
    x = 48,422,745,171.60/163,756.69
  6. Step 6: Final answer
    x = 295,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.