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Finding the Third Proportional to 146,454 and 320,934

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Solution

The third proportional to 146,454 and 320,934 is: 703,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,454 : 320,934 = 320,934 : x
  2. Step 2: Convert to fraction form
    146,454/320,934 = 320,934/x
  3. Step 3: Cross multiply
    146,454x = 320,934 × 320,934
  4. Step 4: Simplify right side
    146,454x = 102,998,632,356
  5. Step 5: Solve for x
    x = 102,998,632,356/146,454
  6. Step 6: Final answer
    x = 703,283.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.