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Finding the Third Proportional to 170,149.50 and 366,291

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Solution

The third proportional to 170,149.50 and 366,291 is: 788,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,149.50 : 366,291 = 366,291 : x
  2. Step 2: Convert to fraction form
    170,149.50/366,291 = 366,291/x
  3. Step 3: Cross multiply
    170,149.50x = 366,291 × 366,291
  4. Step 4: Simplify right side
    170,149.50x = 134,169,096,681
  5. Step 5: Solve for x
    x = 134,169,096,681/170,149.50
  6. Step 6: Final answer
    x = 788,536.53

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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.