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Finding the Third Proportional to 162,964.69 and 353,062.69

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Solution

The third proportional to 162,964.69 and 353,062.69 is: 764,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,964.69 : 353,062.69 = 353,062.69 : x
  2. Step 2: Convert to fraction form
    162,964.69/353,062.69 = 353,062.69/x
  3. Step 3: Cross multiply
    162,964.69x = 353,062.69 × 353,062.69
  4. Step 4: Simplify right side
    162,964.69x = 124,653,261,304.72
  5. Step 5: Solve for x
    x = 124,653,261,304.72/162,964.69
  6. Step 6: Final answer
    x = 764,909.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.