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Finding the Third Proportional to 146,842 and 320,646

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Solution

The third proportional to 146,842 and 320,646 is: 700,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,842 : 320,646 = 320,646 : x
  2. Step 2: Convert to fraction form
    146,842/320,646 = 320,646/x
  3. Step 3: Cross multiply
    146,842x = 320,646 × 320,646
  4. Step 4: Simplify right side
    146,842x = 102,813,857,316
  5. Step 5: Solve for x
    x = 102,813,857,316/146,842
  6. Step 6: Final answer
    x = 700,166.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.