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Finding the Third Proportional to 170,412.75 and 369,032.25

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Solution

The third proportional to 170,412.75 and 369,032.25 is: 799,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,412.75 : 369,032.25 = 369,032.25 : x
  2. Step 2: Convert to fraction form
    170,412.75/369,032.25 = 369,032.25/x
  3. Step 3: Cross multiply
    170,412.75x = 369,032.25 × 369,032.25
  4. Step 4: Simplify right side
    170,412.75x = 136,184,801,540.06
  5. Step 5: Solve for x
    x = 136,184,801,540.06/170,412.75
  6. Step 6: Final answer
    x = 799,146.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.