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Finding the Third Proportional to 199,065 and 433,120

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Solution

The third proportional to 199,065 and 433,120 is: 942,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,065 : 433,120 = 433,120 : x
  2. Step 2: Convert to fraction form
    199,065/433,120 = 433,120/x
  3. Step 3: Cross multiply
    199,065x = 433,120 × 433,120
  4. Step 4: Simplify right side
    199,065x = 187,592,934,400
  5. Step 5: Solve for x
    x = 187,592,934,400/199,065
  6. Step 6: Final answer
    x = 942,370.25

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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.