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Finding the Third Proportional to 214,633.55 and 339,788.04

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Solution

The third proportional to 214,633.55 and 339,788.04 is: 537,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,633.55 : 339,788.04 = 339,788.04 : x
  2. Step 2: Convert to fraction form
    214,633.55/339,788.04 = 339,788.04/x
  3. Step 3: Cross multiply
    214,633.55x = 339,788.04 × 339,788.04
  4. Step 4: Simplify right side
    214,633.55x = 115,455,911,489.94
  5. Step 5: Solve for x
    x = 115,455,911,489.94/214,633.55
  6. Step 6: Final answer
    x = 537,921.09

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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.