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Finding the Third Proportional to 175,354 and 271,216

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Solution

The third proportional to 175,354 and 271,216 is: 419,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,354 : 271,216 = 271,216 : x
  2. Step 2: Convert to fraction form
    175,354/271,216 = 271,216/x
  3. Step 3: Cross multiply
    175,354x = 271,216 × 271,216
  4. Step 4: Simplify right side
    175,354x = 73,558,118,656
  5. Step 5: Solve for x
    x = 73,558,118,656/175,354
  6. Step 6: Final answer
    x = 419,483.55

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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.