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Finding the Third Proportional to 162,772.50 and 338,019

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Solution

The third proportional to 162,772.50 and 338,019 is: 701,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,772.50 : 338,019 = 338,019 : x
  2. Step 2: Convert to fraction form
    162,772.50/338,019 = 338,019/x
  3. Step 3: Cross multiply
    162,772.50x = 338,019 × 338,019
  4. Step 4: Simplify right side
    162,772.50x = 114,256,844,361
  5. Step 5: Solve for x
    x = 114,256,844,361/162,772.50
  6. Step 6: Final answer
    x = 701,941.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.