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Finding the Third Proportional to 214,529.06 and 291,358.13

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Solution

The third proportional to 214,529.06 and 291,358.13 is: 395,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,529.06 : 291,358.13 = 291,358.13 : x
  2. Step 2: Convert to fraction form
    214,529.06/291,358.13 = 291,358.13/x
  3. Step 3: Cross multiply
    214,529.06x = 291,358.13 × 291,358.13
  4. Step 4: Simplify right side
    214,529.06x = 84,889,557,003.52
  5. Step 5: Solve for x
    x = 84,889,557,003.52/214,529.06
  6. Step 6: Final answer
    x = 395,701.90

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Why These Related Problems?

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