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Finding the Third Proportional to 234,258 and 515,164

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Solution

The third proportional to 234,258 and 515,164 is: 1,132,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,258 : 515,164 = 515,164 : x
  2. Step 2: Convert to fraction form
    234,258/515,164 = 515,164/x
  3. Step 3: Cross multiply
    234,258x = 515,164 × 515,164
  4. Step 4: Simplify right side
    234,258x = 265,393,946,896
  5. Step 5: Solve for x
    x = 265,393,946,896/234,258
  6. Step 6: Final answer
    x = 1,132,913.06

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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.