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Finding the Third Proportional to 194,058 and 308,583

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Solution

The third proportional to 194,058 and 308,583 is: 490,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,058 : 308,583 = 308,583 : x
  2. Step 2: Convert to fraction form
    194,058/308,583 = 308,583/x
  3. Step 3: Cross multiply
    194,058x = 308,583 × 308,583
  4. Step 4: Simplify right side
    194,058x = 95,223,467,889
  5. Step 5: Solve for x
    x = 95,223,467,889/194,058
  6. Step 6: Final answer
    x = 490,695.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.