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Finding the Third Proportional to 178,258 and 278,324

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Solution

The third proportional to 178,258 and 278,324 is: 434,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258 : 278,324 = 278,324 : x
  2. Step 2: Convert to fraction form
    178,258/278,324 = 278,324/x
  3. Step 3: Cross multiply
    178,258x = 278,324 × 278,324
  4. Step 4: Simplify right side
    178,258x = 77,464,248,976
  5. Step 5: Solve for x
    x = 77,464,248,976/178,258
  6. Step 6: Final answer
    x = 434,562.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.