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Finding the Third Proportional to 254,035.50 and 383,205.75

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Solution

The third proportional to 254,035.50 and 383,205.75 is: 578,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,035.50 : 383,205.75 = 383,205.75 : x
  2. Step 2: Convert to fraction form
    254,035.50/383,205.75 = 383,205.75/x
  3. Step 3: Cross multiply
    254,035.50x = 383,205.75 × 383,205.75
  4. Step 4: Simplify right side
    254,035.50x = 146,846,646,833.06
  5. Step 5: Solve for x
    x = 146,846,646,833.06/254,035.50
  6. Step 6: Final answer
    x = 578,055.61

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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.