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Finding the Third Proportional to 191,349 and 419,058

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Solution

The third proportional to 191,349 and 419,058 is: 917,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,349 : 419,058 = 419,058 : x
  2. Step 2: Convert to fraction form
    191,349/419,058 = 419,058/x
  3. Step 3: Cross multiply
    191,349x = 419,058 × 419,058
  4. Step 4: Simplify right side
    191,349x = 175,609,607,364
  5. Step 5: Solve for x
    x = 175,609,607,364/191,349
  6. Step 6: Final answer
    x = 917,745.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.