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Finding the Third Proportional to 152,240 and 320,892

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Solution

The third proportional to 152,240 and 320,892 is: 676,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,240 : 320,892 = 320,892 : x
  2. Step 2: Convert to fraction form
    152,240/320,892 = 320,892/x
  3. Step 3: Cross multiply
    152,240x = 320,892 × 320,892
  4. Step 4: Simplify right side
    152,240x = 102,971,675,664
  5. Step 5: Solve for x
    x = 102,971,675,664/152,240
  6. Step 6: Final answer
    x = 676,377.27

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