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Finding the Third Proportional to 175,762 and 272,381

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Solution

The third proportional to 175,762 and 272,381 is: 422,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,762 : 272,381 = 272,381 : x
  2. Step 2: Convert to fraction form
    175,762/272,381 = 272,381/x
  3. Step 3: Cross multiply
    175,762x = 272,381 × 272,381
  4. Step 4: Simplify right side
    175,762x = 74,191,409,161
  5. Step 5: Solve for x
    x = 74,191,409,161/175,762
  6. Step 6: Final answer
    x = 422,112.91

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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.