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Finding the Third Proportional to 208,104 and 297,366

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Solution

The third proportional to 208,104 and 297,366 is: 424,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,104 : 297,366 = 297,366 : x
  2. Step 2: Convert to fraction form
    208,104/297,366 = 297,366/x
  3. Step 3: Cross multiply
    208,104x = 297,366 × 297,366
  4. Step 4: Simplify right side
    208,104x = 88,426,537,956
  5. Step 5: Solve for x
    x = 88,426,537,956/208,104
  6. Step 6: Final answer
    x = 424,915.13

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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.