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Finding the Third Proportional to 183,362 and 378,142

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Solution

The third proportional to 183,362 and 378,142 is: 779,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,362 : 378,142 = 378,142 : x
  2. Step 2: Convert to fraction form
    183,362/378,142 = 378,142/x
  3. Step 3: Cross multiply
    183,362x = 378,142 × 378,142
  4. Step 4: Simplify right side
    183,362x = 142,991,372,164
  5. Step 5: Solve for x
    x = 142,991,372,164/183,362
  6. Step 6: Final answer
    x = 779,831.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.