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Finding the Third Proportional to 162,919.69 and 341,421.75

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Solution

The third proportional to 162,919.69 and 341,421.75 is: 715,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,919.69 : 341,421.75 = 341,421.75 : x
  2. Step 2: Convert to fraction form
    162,919.69/341,421.75 = 341,421.75/x
  3. Step 3: Cross multiply
    162,919.69x = 341,421.75 × 341,421.75
  4. Step 4: Simplify right side
    162,919.69x = 116,568,811,373.06
  5. Step 5: Solve for x
    x = 116,568,811,373.06/162,919.69
  6. Step 6: Final answer
    x = 715,498.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.