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Finding the Third Proportional to 199,062 and 433,115

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Solution

The third proportional to 199,062 and 433,115 is: 942,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,062 : 433,115 = 433,115 : x
  2. Step 2: Convert to fraction form
    199,062/433,115 = 433,115/x
  3. Step 3: Cross multiply
    199,062x = 433,115 × 433,115
  4. Step 4: Simplify right side
    199,062x = 187,588,603,225
  5. Step 5: Solve for x
    x = 187,588,603,225/199,062
  6. Step 6: Final answer
    x = 942,362.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.