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Finding the Third Proportional to 194,058 and 291,807

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Solution

The third proportional to 194,058 and 291,807 is: 438,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,058 : 291,807 = 291,807 : x
  2. Step 2: Convert to fraction form
    194,058/291,807 = 291,807/x
  3. Step 3: Cross multiply
    194,058x = 291,807 × 291,807
  4. Step 4: Simplify right side
    194,058x = 85,151,325,249
  5. Step 5: Solve for x
    x = 85,151,325,249/194,058
  6. Step 6: Final answer
    x = 438,793.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.