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Finding the Third Proportional to 184,978.13 and 277,491.94

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Solution

The third proportional to 184,978.13 and 277,491.94 is: 416,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,978.13 : 277,491.94 = 277,491.94 : x
  2. Step 2: Convert to fraction form
    184,978.13/277,491.94 = 277,491.94/x
  3. Step 3: Cross multiply
    184,978.13x = 277,491.94 × 277,491.94
  4. Step 4: Simplify right side
    184,978.13x = 77,001,775,377.50
  5. Step 5: Solve for x
    x = 77,001,775,377.50/184,978.13
  6. Step 6: Final answer
    x = 416,275.03

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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.