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Finding the Third Proportional to 175,044 and 356,505

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Solution

The third proportional to 175,044 and 356,505 is: 726,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,044 : 356,505 = 356,505 : x
  2. Step 2: Convert to fraction form
    175,044/356,505 = 356,505/x
  3. Step 3: Cross multiply
    175,044x = 356,505 × 356,505
  4. Step 4: Simplify right side
    175,044x = 127,095,815,025
  5. Step 5: Solve for x
    x = 127,095,815,025/175,044
  6. Step 6: Final answer
    x = 726,079.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.