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Finding the Third Proportional to 180,640.50 and 254,157

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Solution

The third proportional to 180,640.50 and 254,157 is: 357,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,640.50 : 254,157 = 254,157 : x
  2. Step 2: Convert to fraction form
    180,640.50/254,157 = 254,157/x
  3. Step 3: Cross multiply
    180,640.50x = 254,157 × 254,157
  4. Step 4: Simplify right side
    180,640.50x = 64,595,780,649
  5. Step 5: Solve for x
    x = 64,595,780,649/180,640.50
  6. Step 6: Final answer
    x = 357,593.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.