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Finding the Third Proportional to 214,688.44 and 291,567.38

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Solution

The third proportional to 214,688.44 and 291,567.38 is: 395,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,688.44 : 291,567.38 = 291,567.38 : x
  2. Step 2: Convert to fraction form
    214,688.44/291,567.38 = 291,567.38/x
  3. Step 3: Cross multiply
    214,688.44x = 291,567.38 × 291,567.38
  4. Step 4: Simplify right side
    214,688.44x = 85,011,534,164.39
  5. Step 5: Solve for x
    x = 85,011,534,164.39/214,688.44
  6. Step 6: Final answer
    x = 395,976.30

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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.