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Finding the Third Proportional to 154,568 and 329,546

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Solution

The third proportional to 154,568 and 329,546 is: 702,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,568 : 329,546 = 329,546 : x
  2. Step 2: Convert to fraction form
    154,568/329,546 = 329,546/x
  3. Step 3: Cross multiply
    154,568x = 329,546 × 329,546
  4. Step 4: Simplify right side
    154,568x = 108,600,566,116
  5. Step 5: Solve for x
    x = 108,600,566,116/154,568
  6. Step 6: Final answer
    x = 702,607.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.