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Finding the Third Proportional to 174,984 and 271,466

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Solution

The third proportional to 174,984 and 271,466 is: 421,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,984 : 271,466 = 271,466 : x
  2. Step 2: Convert to fraction form
    174,984/271,466 = 271,466/x
  3. Step 3: Cross multiply
    174,984x = 271,466 × 271,466
  4. Step 4: Simplify right side
    174,984x = 73,693,789,156
  5. Step 5: Solve for x
    x = 73,693,789,156/174,984
  6. Step 6: Final answer
    x = 421,145.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.