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Finding the Third Proportional to 254,317.50 and 384,754.50

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Solution

The third proportional to 254,317.50 and 384,754.50 is: 582,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,317.50 : 384,754.50 = 384,754.50 : x
  2. Step 2: Convert to fraction form
    254,317.50/384,754.50 = 384,754.50/x
  3. Step 3: Cross multiply
    254,317.50x = 384,754.50 × 384,754.50
  4. Step 4: Simplify right side
    254,317.50x = 148,036,025,270.25
  5. Step 5: Solve for x
    x = 148,036,025,270.25/254,317.50
  6. Step 6: Final answer
    x = 582,091.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.