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Finding the Third Proportional to 197,334 and 427,931

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Solution

The third proportional to 197,334 and 427,931 is: 927,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,334 : 427,931 = 427,931 : x
  2. Step 2: Convert to fraction form
    197,334/427,931 = 427,931/x
  3. Step 3: Cross multiply
    197,334x = 427,931 × 427,931
  4. Step 4: Simplify right side
    197,334x = 183,124,940,761
  5. Step 5: Solve for x
    x = 183,124,940,761/197,334
  6. Step 6: Final answer
    x = 927,994.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.