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Finding the Third Proportional to 174,233 and 256,246

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Solution

The third proportional to 174,233 and 256,246 is: 376,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,233 : 256,246 = 256,246 : x
  2. Step 2: Convert to fraction form
    174,233/256,246 = 256,246/x
  3. Step 3: Cross multiply
    174,233x = 256,246 × 256,246
  4. Step 4: Simplify right side
    174,233x = 65,662,012,516
  5. Step 5: Solve for x
    x = 65,662,012,516/174,233
  6. Step 6: Final answer
    x = 376,863.24

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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.