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Finding the Third Proportional to 234,260 and 515,168

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Solution

The third proportional to 234,260 and 515,168 is: 1,132,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,260 : 515,168 = 515,168 : x
  2. Step 2: Convert to fraction form
    234,260/515,168 = 515,168/x
  3. Step 3: Cross multiply
    234,260x = 515,168 × 515,168
  4. Step 4: Simplify right side
    234,260x = 265,398,068,224
  5. Step 5: Solve for x
    x = 265,398,068,224/234,260
  6. Step 6: Final answer
    x = 1,132,920.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.