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Finding the Third Proportional to 199,469 and 291,488.50

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Solution

The third proportional to 199,469 and 291,488.50 is: 425,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469 : 291,488.50 = 291,488.50 : x
  2. Step 2: Convert to fraction form
    199,469/291,488.50 = 291,488.50/x
  3. Step 3: Cross multiply
    199,469x = 291,488.50 × 291,488.50
  4. Step 4: Simplify right side
    199,469x = 84,965,545,632.25
  5. Step 5: Solve for x
    x = 84,965,545,632.25/199,469
  6. Step 6: Final answer
    x = 425,958.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.