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Finding the Third Proportional to 131,683.22 and 283,339.69

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Solution

The third proportional to 131,683.22 and 283,339.69 is: 609,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,683.22 : 283,339.69 = 283,339.69 : x
  2. Step 2: Convert to fraction form
    131,683.22/283,339.69 = 283,339.69/x
  3. Step 3: Cross multiply
    131,683.22x = 283,339.69 × 283,339.69
  4. Step 4: Simplify right side
    131,683.22x = 80,281,378,512.60
  5. Step 5: Solve for x
    x = 80,281,378,512.60/131,683.22
  6. Step 6: Final answer
    x = 609,655.35

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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.