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Finding the Third Proportional to 175,489 and 271,502

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Solution

The third proportional to 175,489 and 271,502 is: 420,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,489 : 271,502 = 271,502 : x
  2. Step 2: Convert to fraction form
    175,489/271,502 = 271,502/x
  3. Step 3: Cross multiply
    175,489x = 271,502 × 271,502
  4. Step 4: Simplify right side
    175,489x = 73,713,336,004
  5. Step 5: Solve for x
    x = 73,713,336,004/175,489
  6. Step 6: Final answer
    x = 420,045.34

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Why These Related Problems?

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