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Finding the Third Proportional to 146,564 and 313,864

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Solution

The third proportional to 146,564 and 313,864 is: 672,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,564 : 313,864 = 313,864 : x
  2. Step 2: Convert to fraction form
    146,564/313,864 = 313,864/x
  3. Step 3: Cross multiply
    146,564x = 313,864 × 313,864
  4. Step 4: Simplify right side
    146,564x = 98,510,610,496
  5. Step 5: Solve for x
    x = 98,510,610,496/146,564
  6. Step 6: Final answer
    x = 672,133.75

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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.