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Finding the Third Proportional to 188,158 and 402,502

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Solution

The third proportional to 188,158 and 402,502 is: 861,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,158 : 402,502 = 402,502 : x
  2. Step 2: Convert to fraction form
    188,158/402,502 = 402,502/x
  3. Step 3: Cross multiply
    188,158x = 402,502 × 402,502
  4. Step 4: Simplify right side
    188,158x = 162,007,860,004
  5. Step 5: Solve for x
    x = 162,007,860,004/188,158
  6. Step 6: Final answer
    x = 861,020.31

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