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Finding the Third Proportional to 184,487 and 277,300

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Solution

The third proportional to 184,487 and 277,300 is: 416,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,487 : 277,300 = 277,300 : x
  2. Step 2: Convert to fraction form
    184,487/277,300 = 277,300/x
  3. Step 3: Cross multiply
    184,487x = 277,300 × 277,300
  4. Step 4: Simplify right side
    184,487x = 76,895,290,000
  5. Step 5: Solve for x
    x = 76,895,290,000/184,487
  6. Step 6: Final answer
    x = 416,806.01

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