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Finding the Third Proportional to 199,659 and 433,003.50

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Solution

The third proportional to 199,659 and 433,003.50 is: 939,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,659 : 433,003.50 = 433,003.50 : x
  2. Step 2: Convert to fraction form
    199,659/433,003.50 = 433,003.50/x
  3. Step 3: Cross multiply
    199,659x = 433,003.50 × 433,003.50
  4. Step 4: Simplify right side
    199,659x = 187,492,031,012.25
  5. Step 5: Solve for x
    x = 187,492,031,012.25/199,659
  6. Step 6: Final answer
    x = 939,061.25

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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.