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Finding the Third Proportional to 237,920 and 322,967

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Solution

The third proportional to 237,920 and 322,967 is: 438,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,920 : 322,967 = 322,967 : x
  2. Step 2: Convert to fraction form
    237,920/322,967 = 322,967/x
  3. Step 3: Cross multiply
    237,920x = 322,967 × 322,967
  4. Step 4: Simplify right side
    237,920x = 104,307,683,089
  5. Step 5: Solve for x
    x = 104,307,683,089/237,920
  6. Step 6: Final answer
    x = 438,414.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.