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Finding the Third Proportional to 176,324 and 362,032

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Solution

The third proportional to 176,324 and 362,032 is: 743,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,324 : 362,032 = 362,032 : x
  2. Step 2: Convert to fraction form
    176,324/362,032 = 362,032/x
  3. Step 3: Cross multiply
    176,324x = 362,032 × 362,032
  4. Step 4: Simplify right side
    176,324x = 131,067,169,024
  5. Step 5: Solve for x
    x = 131,067,169,024/176,324
  6. Step 6: Final answer
    x = 743,331.42

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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.