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Finding the Third Proportional to 184,610 and 264,000

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Solution

The third proportional to 184,610 and 264,000 is: 377,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,610 : 264,000 = 264,000 : x
  2. Step 2: Convert to fraction form
    184,610/264,000 = 264,000/x
  3. Step 3: Cross multiply
    184,610x = 264,000 × 264,000
  4. Step 4: Simplify right side
    184,610x = 69,696,000,000
  5. Step 5: Solve for x
    x = 69,696,000,000/184,610
  6. Step 6: Final answer
    x = 377,531.01

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