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Finding the Third Proportional to 154,557 and 339,003

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Solution

The third proportional to 154,557 and 339,003 is: 743,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,557 : 339,003 = 339,003 : x
  2. Step 2: Convert to fraction form
    154,557/339,003 = 339,003/x
  3. Step 3: Cross multiply
    154,557x = 339,003 × 339,003
  4. Step 4: Simplify right side
    154,557x = 114,923,034,009
  5. Step 5: Solve for x
    x = 114,923,034,009/154,557
  6. Step 6: Final answer
    x = 743,564.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.