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Finding the Third Proportional to 175,073 and 254,954

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Solution

The third proportional to 175,073 and 254,954 is: 371,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,073 : 254,954 = 254,954 : x
  2. Step 2: Convert to fraction form
    175,073/254,954 = 254,954/x
  3. Step 3: Cross multiply
    175,073x = 254,954 × 254,954
  4. Step 4: Simplify right side
    175,073x = 65,001,542,116
  5. Step 5: Solve for x
    x = 65,001,542,116/175,073
  6. Step 6: Final answer
    x = 371,282.51

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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.