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Finding the Third Proportional to 215,448 and 327,060

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Solution

The third proportional to 215,448 and 327,060 is: 496,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,448 : 327,060 = 327,060 : x
  2. Step 2: Convert to fraction form
    215,448/327,060 = 327,060/x
  3. Step 3: Cross multiply
    215,448x = 327,060 × 327,060
  4. Step 4: Simplify right side
    215,448x = 106,968,243,600
  5. Step 5: Solve for x
    x = 106,968,243,600/215,448
  6. Step 6: Final answer
    x = 496,492.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.