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Finding the Third Proportional to 113,214 and 255,627

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Solution

The third proportional to 113,214 and 255,627 is: 577,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,214 : 255,627 = 255,627 : x
  2. Step 2: Convert to fraction form
    113,214/255,627 = 255,627/x
  3. Step 3: Cross multiply
    113,214x = 255,627 × 255,627
  4. Step 4: Simplify right side
    113,214x = 65,345,163,129
  5. Step 5: Solve for x
    x = 65,345,163,129/113,214
  6. Step 6: Final answer
    x = 577,182.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.