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Finding the Third Proportional to 238,301 and 351,906

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Solution

The third proportional to 238,301 and 351,906 is: 519,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,301 : 351,906 = 351,906 : x
  2. Step 2: Convert to fraction form
    238,301/351,906 = 351,906/x
  3. Step 3: Cross multiply
    238,301x = 351,906 × 351,906
  4. Step 4: Simplify right side
    238,301x = 123,837,832,836
  5. Step 5: Solve for x
    x = 123,837,832,836/238,301
  6. Step 6: Final answer
    x = 519,669.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.