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Finding the Third Proportional to 214,884 and 302,070

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Solution

The third proportional to 214,884 and 302,070 is: 424,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,884 : 302,070 = 302,070 : x
  2. Step 2: Convert to fraction form
    214,884/302,070 = 302,070/x
  3. Step 3: Cross multiply
    214,884x = 302,070 × 302,070
  4. Step 4: Simplify right side
    214,884x = 91,246,284,900
  5. Step 5: Solve for x
    x = 91,246,284,900/214,884
  6. Step 6: Final answer
    x = 424,630.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.