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Finding the Third Proportional to 188,040 and 402,322

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Solution

The third proportional to 188,040 and 402,322 is: 860,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,040 : 402,322 = 402,322 : x
  2. Step 2: Convert to fraction form
    188,040/402,322 = 402,322/x
  3. Step 3: Cross multiply
    188,040x = 402,322 × 402,322
  4. Step 4: Simplify right side
    188,040x = 161,862,991,684
  5. Step 5: Solve for x
    x = 161,862,991,684/188,040
  6. Step 6: Final answer
    x = 860,790.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.