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Finding the Third Proportional to 197,925 and 431,371

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Solution

The third proportional to 197,925 and 431,371 is: 940,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,925 : 431,371 = 431,371 : x
  2. Step 2: Convert to fraction form
    197,925/431,371 = 431,371/x
  3. Step 3: Cross multiply
    197,925x = 431,371 × 431,371
  4. Step 4: Simplify right side
    197,925x = 186,080,939,641
  5. Step 5: Solve for x
    x = 186,080,939,641/197,925
  6. Step 6: Final answer
    x = 940,158.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.