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Finding the Third Proportional to 214,531.88 and 291,361.88

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Solution

The third proportional to 214,531.88 and 291,361.88 is: 395,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,531.88 : 291,361.88 = 291,361.88 : x
  2. Step 2: Convert to fraction form
    214,531.88/291,361.88 = 291,361.88/x
  3. Step 3: Cross multiply
    214,531.88x = 291,361.88 × 291,361.88
  4. Step 4: Simplify right side
    214,531.88x = 84,891,742,203.52
  5. Step 5: Solve for x
    x = 84,891,742,203.52/214,531.88
  6. Step 6: Final answer
    x = 395,706.90

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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.