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Finding the Third Proportional to 214,464 and 355,392

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Solution

The third proportional to 214,464 and 355,392 is: 588,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,464 : 355,392 = 355,392 : x
  2. Step 2: Convert to fraction form
    214,464/355,392 = 355,392/x
  3. Step 3: Cross multiply
    214,464x = 355,392 × 355,392
  4. Step 4: Simplify right side
    214,464x = 126,303,473,664
  5. Step 5: Solve for x
    x = 126,303,473,664/214,464
  6. Step 6: Final answer
    x = 588,926.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.