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Finding the Third Proportional to 175,065 and 277,907

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Solution

The third proportional to 175,065 and 277,907 is: 441,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,065 : 277,907 = 277,907 : x
  2. Step 2: Convert to fraction form
    175,065/277,907 = 277,907/x
  3. Step 3: Cross multiply
    175,065x = 277,907 × 277,907
  4. Step 4: Simplify right side
    175,065x = 77,232,300,649
  5. Step 5: Solve for x
    x = 77,232,300,649/175,065
  6. Step 6: Final answer
    x = 441,163.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.