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Finding the Third Proportional to 143,706 and 193,322

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Solution

The third proportional to 143,706 and 193,322 is: 260,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,706 : 193,322 = 193,322 : x
  2. Step 2: Convert to fraction form
    143,706/193,322 = 193,322/x
  3. Step 3: Cross multiply
    143,706x = 193,322 × 193,322
  4. Step 4: Simplify right side
    143,706x = 37,373,395,684
  5. Step 5: Solve for x
    x = 37,373,395,684/143,706
  6. Step 6: Final answer
    x = 260,068.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.