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Finding the Third Proportional to 168,603 and 254,018.25

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Solution

The third proportional to 168,603 and 254,018.25 is: 382,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,603 : 254,018.25 = 254,018.25 : x
  2. Step 2: Convert to fraction form
    168,603/254,018.25 = 254,018.25/x
  3. Step 3: Cross multiply
    168,603x = 254,018.25 × 254,018.25
  4. Step 4: Simplify right side
    168,603x = 64,525,271,333.06
  5. Step 5: Solve for x
    x = 64,525,271,333.06/168,603
  6. Step 6: Final answer
    x = 382,705.36

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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.