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Finding the Third Proportional to 165,352 and 356,894

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Solution

The third proportional to 165,352 and 356,894 is: 770,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,352 : 356,894 = 356,894 : x
  2. Step 2: Convert to fraction form
    165,352/356,894 = 356,894/x
  3. Step 3: Cross multiply
    165,352x = 356,894 × 356,894
  4. Step 4: Simplify right side
    165,352x = 127,373,327,236
  5. Step 5: Solve for x
    x = 127,373,327,236/165,352
  6. Step 6: Final answer
    x = 770,316.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.