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Finding the Third Proportional to 155,745 and 335,184

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Solution

The third proportional to 155,745 and 335,184 is: 721,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,745 : 335,184 = 335,184 : x
  2. Step 2: Convert to fraction form
    155,745/335,184 = 335,184/x
  3. Step 3: Cross multiply
    155,745x = 335,184 × 335,184
  4. Step 4: Simplify right side
    155,745x = 112,348,313,856
  5. Step 5: Solve for x
    x = 112,348,313,856/155,745
  6. Step 6: Final answer
    x = 721,360.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.