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Finding the Third Proportional to 173,820 and 247,938

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Solution

The third proportional to 173,820 and 247,938 is: 353,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,820 : 247,938 = 247,938 : x
  2. Step 2: Convert to fraction form
    173,820/247,938 = 247,938/x
  3. Step 3: Cross multiply
    173,820x = 247,938 × 247,938
  4. Step 4: Simplify right side
    173,820x = 61,473,251,844
  5. Step 5: Solve for x
    x = 61,473,251,844/173,820
  6. Step 6: Final answer
    x = 353,660.41

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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.