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Finding the Third Proportional to 175,689 and 376,164

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Solution

The third proportional to 175,689 and 376,164 is: 805,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,689 : 376,164 = 376,164 : x
  2. Step 2: Convert to fraction form
    175,689/376,164 = 376,164/x
  3. Step 3: Cross multiply
    175,689x = 376,164 × 376,164
  4. Step 4: Simplify right side
    175,689x = 141,499,354,896
  5. Step 5: Solve for x
    x = 141,499,354,896/175,689
  6. Step 6: Final answer
    x = 805,396.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.