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Finding the Third Proportional to 208,082 and 297,363

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Solution

The third proportional to 208,082 and 297,363 is: 424,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082 : 297,363 = 297,363 : x
  2. Step 2: Convert to fraction form
    208,082/297,363 = 297,363/x
  3. Step 3: Cross multiply
    208,082x = 297,363 × 297,363
  4. Step 4: Simplify right side
    208,082x = 88,424,753,769
  5. Step 5: Solve for x
    x = 88,424,753,769/208,082
  6. Step 6: Final answer
    x = 424,951.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.