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Finding the Third Proportional to 151,201 and 235,994

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Solution

The third proportional to 151,201 and 235,994 is: 368,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,201 : 235,994 = 235,994 : x
  2. Step 2: Convert to fraction form
    151,201/235,994 = 235,994/x
  3. Step 3: Cross multiply
    151,201x = 235,994 × 235,994
  4. Step 4: Simplify right side
    151,201x = 55,693,168,036
  5. Step 5: Solve for x
    x = 55,693,168,036/151,201
  6. Step 6: Final answer
    x = 368,338.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.