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Finding the Third Proportional to 214,691.63 and 291,572.75

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Solution

The third proportional to 214,691.63 and 291,572.75 is: 395,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,691.63 : 291,572.75 = 291,572.75 : x
  2. Step 2: Convert to fraction form
    214,691.63/291,572.75 = 291,572.75/x
  3. Step 3: Cross multiply
    214,691.63x = 291,572.75 × 291,572.75
  4. Step 4: Simplify right side
    214,691.63x = 85,014,668,542.56
  5. Step 5: Solve for x
    x = 85,014,668,542.56/214,691.63
  6. Step 6: Final answer
    x = 395,985.03

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