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Finding the Third Proportional to 165,226.50 and 356,724

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Solution

The third proportional to 165,226.50 and 356,724 is: 770,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,226.50 : 356,724 = 356,724 : x
  2. Step 2: Convert to fraction form
    165,226.50/356,724 = 356,724/x
  3. Step 3: Cross multiply
    165,226.50x = 356,724 × 356,724
  4. Step 4: Simplify right side
    165,226.50x = 127,252,012,176
  5. Step 5: Solve for x
    x = 127,252,012,176/165,226.50
  6. Step 6: Final answer
    x = 770,167.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.