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Finding the Third Proportional to 214,244 and 314,736

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Solution

The third proportional to 214,244 and 314,736 is: 462,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,244 : 314,736 = 314,736 : x
  2. Step 2: Convert to fraction form
    214,244/314,736 = 314,736/x
  3. Step 3: Cross multiply
    214,244x = 314,736 × 314,736
  4. Step 4: Simplify right side
    214,244x = 99,058,749,696
  5. Step 5: Solve for x
    x = 99,058,749,696/214,244
  6. Step 6: Final answer
    x = 462,364.17

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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.