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Finding the Third Proportional to 199,632 and 293,605.50

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Solution

The third proportional to 199,632 and 293,605.50 is: 431,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,632 : 293,605.50 = 293,605.50 : x
  2. Step 2: Convert to fraction form
    199,632/293,605.50 = 293,605.50/x
  3. Step 3: Cross multiply
    199,632x = 293,605.50 × 293,605.50
  4. Step 4: Simplify right side
    199,632x = 86,204,189,630.25
  5. Step 5: Solve for x
    x = 86,204,189,630.25/199,632
  6. Step 6: Final answer
    x = 431,815.49

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.