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Finding the Third Proportional to 214,622 and 291,485

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Solution

The third proportional to 214,622 and 291,485 is: 395,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,622 : 291,485 = 291,485 : x
  2. Step 2: Convert to fraction form
    214,622/291,485 = 291,485/x
  3. Step 3: Cross multiply
    214,622x = 291,485 × 291,485
  4. Step 4: Simplify right side
    214,622x = 84,963,505,225
  5. Step 5: Solve for x
    x = 84,963,505,225/214,622
  6. Step 6: Final answer
    x = 395,875.10

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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.