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Finding the Third Proportional to 155,303 and 335,995

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Solution

The third proportional to 155,303 and 335,995 is: 726,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,303 : 335,995 = 335,995 : x
  2. Step 2: Convert to fraction form
    155,303/335,995 = 335,995/x
  3. Step 3: Cross multiply
    155,303x = 335,995 × 335,995
  4. Step 4: Simplify right side
    155,303x = 112,892,640,025
  5. Step 5: Solve for x
    x = 112,892,640,025/155,303
  6. Step 6: Final answer
    x = 726,918.60

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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.