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Finding the Third Proportional to 199,599 and 293,560.50

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Solution

The third proportional to 199,599 and 293,560.50 is: 431,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,599 : 293,560.50 = 293,560.50 : x
  2. Step 2: Convert to fraction form
    199,599/293,560.50 = 293,560.50/x
  3. Step 3: Cross multiply
    199,599x = 293,560.50 × 293,560.50
  4. Step 4: Simplify right side
    199,599x = 86,177,767,160.25
  5. Step 5: Solve for x
    x = 86,177,767,160.25/199,599
  6. Step 6: Final answer
    x = 431,754.50

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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.