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Finding the Third Proportional to 175,490 and 239,907

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Solution

The third proportional to 175,490 and 239,907 is: 327,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,490 : 239,907 = 239,907 : x
  2. Step 2: Convert to fraction form
    175,490/239,907 = 239,907/x
  3. Step 3: Cross multiply
    175,490x = 239,907 × 239,907
  4. Step 4: Simplify right side
    175,490x = 57,555,368,649
  5. Step 5: Solve for x
    x = 57,555,368,649/175,490
  6. Step 6: Final answer
    x = 327,969.51

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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.