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Finding the Third Proportional to 155,904.75 and 336,757.50

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Solution

The third proportional to 155,904.75 and 336,757.50 is: 727,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,904.75 : 336,757.50 = 336,757.50 : x
  2. Step 2: Convert to fraction form
    155,904.75/336,757.50 = 336,757.50/x
  3. Step 3: Cross multiply
    155,904.75x = 336,757.50 × 336,757.50
  4. Step 4: Simplify right side
    155,904.75x = 113,405,613,806.25
  5. Step 5: Solve for x
    x = 113,405,613,806.25/155,904.75
  6. Step 6: Final answer
    x = 727,403.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.