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Finding the Third Proportional to 191,916 and 301,044

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Solution

The third proportional to 191,916 and 301,044 is: 472,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,916 : 301,044 = 301,044 : x
  2. Step 2: Convert to fraction form
    191,916/301,044 = 301,044/x
  3. Step 3: Cross multiply
    191,916x = 301,044 × 301,044
  4. Step 4: Simplify right side
    191,916x = 90,627,489,936
  5. Step 5: Solve for x
    x = 90,627,489,936/191,916
  6. Step 6: Final answer
    x = 472,224.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.