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Finding the Third Proportional to 175,080 and 254,962

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Solution

The third proportional to 175,080 and 254,962 is: 371,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,080 : 254,962 = 254,962 : x
  2. Step 2: Convert to fraction form
    175,080/254,962 = 254,962/x
  3. Step 3: Cross multiply
    175,080x = 254,962 × 254,962
  4. Step 4: Simplify right side
    175,080x = 65,005,621,444
  5. Step 5: Solve for x
    x = 65,005,621,444/175,080
  6. Step 6: Final answer
    x = 371,290.96

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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.