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Finding the Third Proportional to 175,088 and 254,975

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Solution

The third proportional to 175,088 and 254,975 is: 371,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,088 : 254,975 = 254,975 : x
  2. Step 2: Convert to fraction form
    175,088/254,975 = 254,975/x
  3. Step 3: Cross multiply
    175,088x = 254,975 × 254,975
  4. Step 4: Simplify right side
    175,088x = 65,012,250,625
  5. Step 5: Solve for x
    x = 65,012,250,625/175,088
  6. Step 6: Final answer
    x = 371,311.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.