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Finding the Third Proportional to 191,058 and 415,291.50

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Solution

The third proportional to 191,058 and 415,291.50 is: 902,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,058 : 415,291.50 = 415,291.50 : x
  2. Step 2: Convert to fraction form
    191,058/415,291.50 = 415,291.50/x
  3. Step 3: Cross multiply
    191,058x = 415,291.50 × 415,291.50
  4. Step 4: Simplify right side
    191,058x = 172,467,029,972.25
  5. Step 5: Solve for x
    x = 172,467,029,972.25/191,058
  6. Step 6: Final answer
    x = 902,694.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.