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Finding the Third Proportional to 184,316 and 277,178

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Solution

The third proportional to 184,316 and 277,178 is: 416,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,316 : 277,178 = 277,178 : x
  2. Step 2: Convert to fraction form
    184,316/277,178 = 277,178/x
  3. Step 3: Cross multiply
    184,316x = 277,178 × 277,178
  4. Step 4: Simplify right side
    184,316x = 76,827,643,684
  5. Step 5: Solve for x
    x = 76,827,643,684/184,316
  6. Step 6: Final answer
    x = 416,825.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.