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Finding the Third Proportional to 176,322 and 362,028

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Solution

The third proportional to 176,322 and 362,028 is: 743,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,322 : 362,028 = 362,028 : x
  2. Step 2: Convert to fraction form
    176,322/362,028 = 362,028/x
  3. Step 3: Cross multiply
    176,322x = 362,028 × 362,028
  4. Step 4: Simplify right side
    176,322x = 131,064,272,784
  5. Step 5: Solve for x
    x = 131,064,272,784/176,322
  6. Step 6: Final answer
    x = 743,323.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.