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Finding the Third Proportional to 170,429.25 and 367,021.50

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Solution

The third proportional to 170,429.25 and 367,021.50 is: 790,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,429.25 : 367,021.50 = 367,021.50 : x
  2. Step 2: Convert to fraction form
    170,429.25/367,021.50 = 367,021.50/x
  3. Step 3: Cross multiply
    170,429.25x = 367,021.50 × 367,021.50
  4. Step 4: Simplify right side
    170,429.25x = 134,704,781,462.25
  5. Step 5: Solve for x
    x = 134,704,781,462.25/170,429.25
  6. Step 6: Final answer
    x = 790,385.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.