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Finding the Third Proportional to 155,228 and 335,184

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Solution

The third proportional to 155,228 and 335,184 is: 723,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,228 : 335,184 = 335,184 : x
  2. Step 2: Convert to fraction form
    155,228/335,184 = 335,184/x
  3. Step 3: Cross multiply
    155,228x = 335,184 × 335,184
  4. Step 4: Simplify right side
    155,228x = 112,348,313,856
  5. Step 5: Solve for x
    x = 112,348,313,856/155,228
  6. Step 6: Final answer
    x = 723,763.20

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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.