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Finding the Third Proportional to 184,146 and 270,387

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Solution

The third proportional to 184,146 and 270,387 is: 397,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,146 : 270,387 = 270,387 : x
  2. Step 2: Convert to fraction form
    184,146/270,387 = 270,387/x
  3. Step 3: Cross multiply
    184,146x = 270,387 × 270,387
  4. Step 4: Simplify right side
    184,146x = 73,109,129,769
  5. Step 5: Solve for x
    x = 73,109,129,769/184,146
  6. Step 6: Final answer
    x = 397,017.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.