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Finding the Third Proportional to 164,575.13 and 220,618.69

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Solution

The third proportional to 164,575.13 and 220,618.69 is: 295,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,575.13 : 220,618.69 = 220,618.69 : x
  2. Step 2: Convert to fraction form
    164,575.13/220,618.69 = 220,618.69/x
  3. Step 3: Cross multiply
    164,575.13x = 220,618.69 × 220,618.69
  4. Step 4: Simplify right side
    164,575.13x = 48,672,605,274.22
  5. Step 5: Solve for x
    x = 48,672,605,274.22/164,575.13
  6. Step 6: Final answer
    x = 295,747.04

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