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Finding the Third Proportional to 155,440 and 184,145

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Solution

The third proportional to 155,440 and 184,145 is: 218,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,440 : 184,145 = 184,145 : x
  2. Step 2: Convert to fraction form
    155,440/184,145 = 184,145/x
  3. Step 3: Cross multiply
    155,440x = 184,145 × 184,145
  4. Step 4: Simplify right side
    155,440x = 33,909,381,025
  5. Step 5: Solve for x
    x = 33,909,381,025/155,440
  6. Step 6: Final answer
    x = 218,150.93

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.