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Finding the Third Proportional to 199,543.50 and 432,993

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Solution

The third proportional to 199,543.50 and 432,993 is: 939,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,543.50 : 432,993 = 432,993 : x
  2. Step 2: Convert to fraction form
    199,543.50/432,993 = 432,993/x
  3. Step 3: Cross multiply
    199,543.50x = 432,993 × 432,993
  4. Step 4: Simplify right side
    199,543.50x = 187,482,938,049
  5. Step 5: Solve for x
    x = 187,482,938,049/199,543.50
  6. Step 6: Final answer
    x = 939,559.23

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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.