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Finding the Third Proportional to 168,627 and 254,047.50

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Solution

The third proportional to 168,627 and 254,047.50 is: 382,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,627 : 254,047.50 = 254,047.50 : x
  2. Step 2: Convert to fraction form
    168,627/254,047.50 = 254,047.50/x
  3. Step 3: Cross multiply
    168,627x = 254,047.50 × 254,047.50
  4. Step 4: Simplify right side
    168,627x = 64,540,132,256.25
  5. Step 5: Solve for x
    x = 64,540,132,256.25/168,627
  6. Step 6: Final answer
    x = 382,739.02

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