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Finding the Third Proportional to 254,785.50 and 326,767.50

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Solution

The third proportional to 254,785.50 and 326,767.50 is: 419,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,785.50 : 326,767.50 = 326,767.50 : x
  2. Step 2: Convert to fraction form
    254,785.50/326,767.50 = 326,767.50/x
  3. Step 3: Cross multiply
    254,785.50x = 326,767.50 × 326,767.50
  4. Step 4: Simplify right side
    254,785.50x = 106,776,999,056.25
  5. Step 5: Solve for x
    x = 106,776,999,056.25/254,785.50
  6. Step 6: Final answer
    x = 419,085.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.