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Finding the Third Proportional to 191,455 and 422,030

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Solution

The third proportional to 191,455 and 422,030 is: 930,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,455 : 422,030 = 422,030 : x
  2. Step 2: Convert to fraction form
    191,455/422,030 = 422,030/x
  3. Step 3: Cross multiply
    191,455x = 422,030 × 422,030
  4. Step 4: Simplify right side
    191,455x = 178,109,320,900
  5. Step 5: Solve for x
    x = 178,109,320,900/191,455
  6. Step 6: Final answer
    x = 930,293.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.