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Finding the Third Proportional to 146,192 and 320,304

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Solution

The third proportional to 146,192 and 320,304 is: 701,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,192 : 320,304 = 320,304 : x
  2. Step 2: Convert to fraction form
    146,192/320,304 = 320,304/x
  3. Step 3: Cross multiply
    146,192x = 320,304 × 320,304
  4. Step 4: Simplify right side
    146,192x = 102,594,652,416
  5. Step 5: Solve for x
    x = 102,594,652,416/146,192
  6. Step 6: Final answer
    x = 701,780.21

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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.