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Finding the Third Proportional to 161,089 and 379,010.50

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Solution

The third proportional to 161,089 and 379,010.50 is: 891,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,089 : 379,010.50 = 379,010.50 : x
  2. Step 2: Convert to fraction form
    161,089/379,010.50 = 379,010.50/x
  3. Step 3: Cross multiply
    161,089x = 379,010.50 × 379,010.50
  4. Step 4: Simplify right side
    161,089x = 143,648,959,110.25
  5. Step 5: Solve for x
    x = 143,648,959,110.25/161,089
  6. Step 6: Final answer
    x = 891,736.61

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.