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Finding the Third Proportional to 162,918 and 345,132

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Solution

The third proportional to 162,918 and 345,132 is: 731,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,918 : 345,132 = 345,132 : x
  2. Step 2: Convert to fraction form
    162,918/345,132 = 345,132/x
  3. Step 3: Cross multiply
    162,918x = 345,132 × 345,132
  4. Step 4: Simplify right side
    162,918x = 119,116,097,424
  5. Step 5: Solve for x
    x = 119,116,097,424/162,918
  6. Step 6: Final answer
    x = 731,141.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.