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Finding the Third Proportional to 170,421.75 and 369,050.25

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Solution

The third proportional to 170,421.75 and 369,050.25 is: 799,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,421.75 : 369,050.25 = 369,050.25 : x
  2. Step 2: Convert to fraction form
    170,421.75/369,050.25 = 369,050.25/x
  3. Step 3: Cross multiply
    170,421.75x = 369,050.25 × 369,050.25
  4. Step 4: Simplify right side
    170,421.75x = 136,198,087,025.06
  5. Step 5: Solve for x
    x = 136,198,087,025.06/170,421.75
  6. Step 6: Final answer
    x = 799,182.54

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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.