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Finding the Third Proportional to 159,488 and 341,864

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Solution

The third proportional to 159,488 and 341,864 is: 732,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,488 : 341,864 = 341,864 : x
  2. Step 2: Convert to fraction form
    159,488/341,864 = 341,864/x
  3. Step 3: Cross multiply
    159,488x = 341,864 × 341,864
  4. Step 4: Simplify right side
    159,488x = 116,870,994,496
  5. Step 5: Solve for x
    x = 116,870,994,496/159,488
  6. Step 6: Final answer
    x = 732,788.64

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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.