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Finding the Third Proportional to 236,475 and 357,167.25

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Solution

The third proportional to 236,475 and 357,167.25 is: 539,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,475 : 357,167.25 = 357,167.25 : x
  2. Step 2: Convert to fraction form
    236,475/357,167.25 = 357,167.25/x
  3. Step 3: Cross multiply
    236,475x = 357,167.25 × 357,167.25
  4. Step 4: Simplify right side
    236,475x = 127,568,444,472.56
  5. Step 5: Solve for x
    x = 127,568,444,472.56/236,475
  6. Step 6: Final answer
    x = 539,458.48

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Why These Related Problems?

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