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Finding the Third Proportional to 214,627 and 291,492

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Solution

The third proportional to 214,627 and 291,492 is: 395,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,627 : 291,492 = 291,492 : x
  2. Step 2: Convert to fraction form
    214,627/291,492 = 291,492/x
  3. Step 3: Cross multiply
    214,627x = 291,492 × 291,492
  4. Step 4: Simplify right side
    214,627x = 84,967,586,064
  5. Step 5: Solve for x
    x = 84,967,586,064/214,627
  6. Step 6: Final answer
    x = 395,884.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.