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Finding the Third Proportional to 184,908 and 264,226.50

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Solution

The third proportional to 184,908 and 264,226.50 is: 377,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,908 : 264,226.50 = 264,226.50 : x
  2. Step 2: Convert to fraction form
    184,908/264,226.50 = 264,226.50/x
  3. Step 3: Cross multiply
    184,908x = 264,226.50 × 264,226.50
  4. Step 4: Simplify right side
    184,908x = 69,815,643,302.25
  5. Step 5: Solve for x
    x = 69,815,643,302.25/184,908
  6. Step 6: Final answer
    x = 377,569.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.