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Finding the Third Proportional to 146,536 and 313,808

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Solution

The third proportional to 146,536 and 313,808 is: 672,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,536 : 313,808 = 313,808 : x
  2. Step 2: Convert to fraction form
    146,536/313,808 = 313,808/x
  3. Step 3: Cross multiply
    146,536x = 313,808 × 313,808
  4. Step 4: Simplify right side
    146,536x = 98,475,460,864
  5. Step 5: Solve for x
    x = 98,475,460,864/146,536
  6. Step 6: Final answer
    x = 672,022.31

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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.