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Finding the Third Proportional to 112,214 and 244,516

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Solution

The third proportional to 112,214 and 244,516 is: 532,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,214 : 244,516 = 244,516 : x
  2. Step 2: Convert to fraction form
    112,214/244,516 = 244,516/x
  3. Step 3: Cross multiply
    112,214x = 244,516 × 244,516
  4. Step 4: Simplify right side
    112,214x = 59,788,074,256
  5. Step 5: Solve for x
    x = 59,788,074,256/112,214
  6. Step 6: Final answer
    x = 532,804.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.