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Finding the Third Proportional to 185,820 and 274,355

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Solution

The third proportional to 185,820 and 274,355 is: 405,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820 : 274,355 = 274,355 : x
  2. Step 2: Convert to fraction form
    185,820/274,355 = 274,355/x
  3. Step 3: Cross multiply
    185,820x = 274,355 × 274,355
  4. Step 4: Simplify right side
    185,820x = 75,270,666,025
  5. Step 5: Solve for x
    x = 75,270,666,025/185,820
  6. Step 6: Final answer
    x = 405,073.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.