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Finding the Third Proportional to 178,455 and 244,701

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Solution

The third proportional to 178,455 and 244,701 is: 335,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,455 : 244,701 = 244,701 : x
  2. Step 2: Convert to fraction form
    178,455/244,701 = 244,701/x
  3. Step 3: Cross multiply
    178,455x = 244,701 × 244,701
  4. Step 4: Simplify right side
    178,455x = 59,878,579,401
  5. Step 5: Solve for x
    x = 59,878,579,401/178,455
  6. Step 6: Final answer
    x = 335,538.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.