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Finding the Third Proportional to 152,241 and 320,894

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Solution

The third proportional to 152,241 and 320,894 is: 676,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,241 : 320,894 = 320,894 : x
  2. Step 2: Convert to fraction form
    152,241/320,894 = 320,894/x
  3. Step 3: Cross multiply
    152,241x = 320,894 × 320,894
  4. Step 4: Simplify right side
    152,241x = 102,972,959,236
  5. Step 5: Solve for x
    x = 102,972,959,236/152,241
  6. Step 6: Final answer
    x = 676,381.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.