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Finding the Third Proportional to 159,875 and 345,366

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Solution

The third proportional to 159,875 and 345,366 is: 746,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,875 : 345,366 = 345,366 : x
  2. Step 2: Convert to fraction form
    159,875/345,366 = 345,366/x
  3. Step 3: Cross multiply
    159,875x = 345,366 × 345,366
  4. Step 4: Simplify right side
    159,875x = 119,277,673,956
  5. Step 5: Solve for x
    x = 119,277,673,956/159,875
  6. Step 6: Final answer
    x = 746,068.33

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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.