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Finding the Third Proportional to 214,241.25 and 314,733

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Solution

The third proportional to 214,241.25 and 314,733 is: 462,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,241.25 : 314,733 = 314,733 : x
  2. Step 2: Convert to fraction form
    214,241.25/314,733 = 314,733/x
  3. Step 3: Cross multiply
    214,241.25x = 314,733 × 314,733
  4. Step 4: Simplify right side
    214,241.25x = 99,056,861,289
  5. Step 5: Solve for x
    x = 99,056,861,289/214,241.25
  6. Step 6: Final answer
    x = 462,361.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.