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Finding the Third Proportional to 191,443.50 and 422,010

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Solution

The third proportional to 191,443.50 and 422,010 is: 930,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,443.50 : 422,010 = 422,010 : x
  2. Step 2: Convert to fraction form
    191,443.50/422,010 = 422,010/x
  3. Step 3: Cross multiply
    191,443.50x = 422,010 × 422,010
  4. Step 4: Simplify right side
    191,443.50x = 178,092,440,100
  5. Step 5: Solve for x
    x = 178,092,440,100/191,443.50
  6. Step 6: Final answer
    x = 930,261.10

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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.