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Finding the Third Proportional to 162,790 and 348,941

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Solution

The third proportional to 162,790 and 348,941 is: 747,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,790 : 348,941 = 348,941 : x
  2. Step 2: Convert to fraction form
    162,790/348,941 = 348,941/x
  3. Step 3: Cross multiply
    162,790x = 348,941 × 348,941
  4. Step 4: Simplify right side
    162,790x = 121,759,821,481
  5. Step 5: Solve for x
    x = 121,759,821,481/162,790
  6. Step 6: Final answer
    x = 747,956.39

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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.