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Finding the Third Proportional to 155,549 and 335,004

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Solution

The third proportional to 155,549 and 335,004 is: 721,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,549 : 335,004 = 335,004 : x
  2. Step 2: Convert to fraction form
    155,549/335,004 = 335,004/x
  3. Step 3: Cross multiply
    155,549x = 335,004 × 335,004
  4. Step 4: Simplify right side
    155,549x = 112,227,680,016
  5. Step 5: Solve for x
    x = 112,227,680,016/155,549
  6. Step 6: Final answer
    x = 721,494.06

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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.