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Finding the Third Proportional to 236,441.25 and 376,407.25

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Solution

The third proportional to 236,441.25 and 376,407.25 is: 599,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,441.25 : 376,407.25 = 376,407.25 : x
  2. Step 2: Convert to fraction form
    236,441.25/376,407.25 = 376,407.25/x
  3. Step 3: Cross multiply
    236,441.25x = 376,407.25 × 376,407.25
  4. Step 4: Simplify right side
    236,441.25x = 141,682,417,852.56
  5. Step 5: Solve for x
    x = 141,682,417,852.56/236,441.25
  6. Step 6: Final answer
    x = 599,228.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.