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Finding the Third Proportional to 208,006 and 297,246

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Solution

The third proportional to 208,006 and 297,246 is: 424,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,006 : 297,246 = 297,246 : x
  2. Step 2: Convert to fraction form
    208,006/297,246 = 297,246/x
  3. Step 3: Cross multiply
    208,006x = 297,246 × 297,246
  4. Step 4: Simplify right side
    208,006x = 88,355,184,516
  5. Step 5: Solve for x
    x = 88,355,184,516/208,006
  6. Step 6: Final answer
    x = 424,772.29

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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.