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Finding the Third Proportional to 155,746 and 335,186

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Solution

The third proportional to 155,746 and 335,186 is: 721,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,746 : 335,186 = 335,186 : x
  2. Step 2: Convert to fraction form
    155,746/335,186 = 335,186/x
  3. Step 3: Cross multiply
    155,746x = 335,186 × 335,186
  4. Step 4: Simplify right side
    155,746x = 112,349,654,596
  5. Step 5: Solve for x
    x = 112,349,654,596/155,746
  6. Step 6: Final answer
    x = 721,364.62

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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.