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Finding the Third Proportional to 178,686 and 276,426

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Solution

The third proportional to 178,686 and 276,426 is: 427,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,686 : 276,426 = 276,426 : x
  2. Step 2: Convert to fraction form
    178,686/276,426 = 276,426/x
  3. Step 3: Cross multiply
    178,686x = 276,426 × 276,426
  4. Step 4: Simplify right side
    178,686x = 76,411,333,476
  5. Step 5: Solve for x
    x = 76,411,333,476/178,686
  6. Step 6: Final answer
    x = 427,629.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.