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Finding the Third Proportional to 174,241 and 256,258

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Solution

The third proportional to 174,241 and 256,258 is: 376,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,241 : 256,258 = 256,258 : x
  2. Step 2: Convert to fraction form
    174,241/256,258 = 256,258/x
  3. Step 3: Cross multiply
    174,241x = 256,258 × 256,258
  4. Step 4: Simplify right side
    174,241x = 65,668,162,564
  5. Step 5: Solve for x
    x = 65,668,162,564/174,241
  6. Step 6: Final answer
    x = 376,881.23

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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.