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Finding the Third Proportional to 117,390 and 244,508

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Solution

The third proportional to 117,390 and 244,508 is: 509,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,390 : 244,508 = 244,508 : x
  2. Step 2: Convert to fraction form
    117,390/244,508 = 244,508/x
  3. Step 3: Cross multiply
    117,390x = 244,508 × 244,508
  4. Step 4: Simplify right side
    117,390x = 59,784,162,064
  5. Step 5: Solve for x
    x = 59,784,162,064/117,390
  6. Step 6: Final answer
    x = 509,278.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.