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Finding the Third Proportional to 214,288 and 323,376

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Solution

The third proportional to 214,288 and 323,376 is: 487,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,288 : 323,376 = 323,376 : x
  2. Step 2: Convert to fraction form
    214,288/323,376 = 323,376/x
  3. Step 3: Cross multiply
    214,288x = 323,376 × 323,376
  4. Step 4: Simplify right side
    214,288x = 104,572,037,376
  5. Step 5: Solve for x
    x = 104,572,037,376/214,288
  6. Step 6: Final answer
    x = 487,997.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.