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Finding the Third Proportional to 199,066 and 433,124

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Solution

The third proportional to 199,066 and 433,124 is: 942,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,066 : 433,124 = 433,124 : x
  2. Step 2: Convert to fraction form
    199,066/433,124 = 433,124/x
  3. Step 3: Cross multiply
    199,066x = 433,124 × 433,124
  4. Step 4: Simplify right side
    199,066x = 187,596,399,376
  5. Step 5: Solve for x
    x = 187,596,399,376/199,066
  6. Step 6: Final answer
    x = 942,382.93

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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.