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Finding the Third Proportional to 188,120.63 and 401,756.25

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Solution

The third proportional to 188,120.63 and 401,756.25 is: 858,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,120.63 : 401,756.25 = 401,756.25 : x
  2. Step 2: Convert to fraction form
    188,120.63/401,756.25 = 401,756.25/x
  3. Step 3: Cross multiply
    188,120.63x = 401,756.25 × 401,756.25
  4. Step 4: Simplify right side
    188,120.63x = 161,408,084,414.06
  5. Step 5: Solve for x
    x = 161,408,084,414.06/188,120.63
  6. Step 6: Final answer
    x = 858,003.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.