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Finding the Third Proportional to 247,376 and 373,356

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Solution

The third proportional to 247,376 and 373,356 is: 563,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,376 : 373,356 = 373,356 : x
  2. Step 2: Convert to fraction form
    247,376/373,356 = 373,356/x
  3. Step 3: Cross multiply
    247,376x = 373,356 × 373,356
  4. Step 4: Simplify right side
    247,376x = 139,394,702,736
  5. Step 5: Solve for x
    x = 139,394,702,736/247,376
  6. Step 6: Final answer
    x = 563,493.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.