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Finding the Third Proportional to 128,958 and 274,522.50

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Solution

The third proportional to 128,958 and 274,522.50 is: 584,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,958 : 274,522.50 = 274,522.50 : x
  2. Step 2: Convert to fraction form
    128,958/274,522.50 = 274,522.50/x
  3. Step 3: Cross multiply
    128,958x = 274,522.50 × 274,522.50
  4. Step 4: Simplify right side
    128,958x = 75,362,603,006.25
  5. Step 5: Solve for x
    x = 75,362,603,006.25/128,958
  6. Step 6: Final answer
    x = 584,396.49

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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.