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Finding the Third Proportional to 152,244 and 320,900

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Solution

The third proportional to 152,244 and 320,900 is: 676,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,244 : 320,900 = 320,900 : x
  2. Step 2: Convert to fraction form
    152,244/320,900 = 320,900/x
  3. Step 3: Cross multiply
    152,244x = 320,900 × 320,900
  4. Step 4: Simplify right side
    152,244x = 102,976,810,000
  5. Step 5: Solve for x
    x = 102,976,810,000/152,244
  6. Step 6: Final answer
    x = 676,393.22

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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.