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Finding the Third Proportional to 214,720.88 and 339,946.88

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Solution

The third proportional to 214,720.88 and 339,946.88 is: 538,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,720.88 : 339,946.88 = 339,946.88 : x
  2. Step 2: Convert to fraction form
    214,720.88/339,946.88 = 339,946.88/x
  3. Step 3: Cross multiply
    214,720.88x = 339,946.88 × 339,946.88
  4. Step 4: Simplify right side
    214,720.88x = 115,563,877,822.27
  5. Step 5: Solve for x
    x = 115,563,877,822.27/214,720.88
  6. Step 6: Final answer
    x = 538,205.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.