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Finding the Third Proportional to 208,162 and 297,453

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Solution

The third proportional to 208,162 and 297,453 is: 425,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,162 : 297,453 = 297,453 : x
  2. Step 2: Convert to fraction form
    208,162/297,453 = 297,453/x
  3. Step 3: Cross multiply
    208,162x = 297,453 × 297,453
  4. Step 4: Simplify right side
    208,162x = 88,478,287,209
  5. Step 5: Solve for x
    x = 88,478,287,209/208,162
  6. Step 6: Final answer
    x = 425,045.34

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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.