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Finding the Third Proportional to 200,082 and 437,340

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Solution

The third proportional to 200,082 and 437,340 is: 955,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082 : 437,340 = 437,340 : x
  2. Step 2: Convert to fraction form
    200,082/437,340 = 437,340/x
  3. Step 3: Cross multiply
    200,082x = 437,340 × 437,340
  4. Step 4: Simplify right side
    200,082x = 191,266,275,600
  5. Step 5: Solve for x
    x = 191,266,275,600/200,082
  6. Step 6: Final answer
    x = 955,939.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.