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Finding the Third Proportional to 178,256 and 278,321

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Solution

The third proportional to 178,256 and 278,321 is: 434,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,256 : 278,321 = 278,321 : x
  2. Step 2: Convert to fraction form
    178,256/278,321 = 278,321/x
  3. Step 3: Cross multiply
    178,256x = 278,321 × 278,321
  4. Step 4: Simplify right side
    178,256x = 77,462,579,041
  5. Step 5: Solve for x
    x = 77,462,579,041/178,256
  6. Step 6: Final answer
    x = 434,558.05

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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.