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Finding the Third Proportional to 214,242 and 314,734

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Solution

The third proportional to 214,242 and 314,734 is: 462,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,242 : 314,734 = 314,734 : x
  2. Step 2: Convert to fraction form
    214,242/314,734 = 314,734/x
  3. Step 3: Cross multiply
    214,242x = 314,734 × 314,734
  4. Step 4: Simplify right side
    214,242x = 99,057,490,756
  5. Step 5: Solve for x
    x = 99,057,490,756/214,242
  6. Step 6: Final answer
    x = 462,362.61

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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.