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Finding the Third Proportional to 247,946 and 368,273

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Solution

The third proportional to 247,946 and 368,273 is: 546,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,946 : 368,273 = 368,273 : x
  2. Step 2: Convert to fraction form
    247,946/368,273 = 368,273/x
  3. Step 3: Cross multiply
    247,946x = 368,273 × 368,273
  4. Step 4: Simplify right side
    247,946x = 135,625,002,529
  5. Step 5: Solve for x
    x = 135,625,002,529/247,946
  6. Step 6: Final answer
    x = 546,994.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.