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Finding the Third Proportional to 175,005 and 271,503

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Solution

The third proportional to 175,005 and 271,503 is: 421,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,005 : 271,503 = 271,503 : x
  2. Step 2: Convert to fraction form
    175,005/271,503 = 271,503/x
  3. Step 3: Cross multiply
    175,005x = 271,503 × 271,503
  4. Step 4: Simplify right side
    175,005x = 73,713,879,009
  5. Step 5: Solve for x
    x = 73,713,879,009/175,005
  6. Step 6: Final answer
    x = 421,210.13

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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.