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Finding the Third Proportional to 184,878.25 and 264,195.25

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Solution

The third proportional to 184,878.25 and 264,195.25 is: 377,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,878.25 : 264,195.25 = 264,195.25 : x
  2. Step 2: Convert to fraction form
    184,878.25/264,195.25 = 264,195.25/x
  3. Step 3: Cross multiply
    184,878.25x = 264,195.25 × 264,195.25
  4. Step 4: Simplify right side
    184,878.25x = 69,799,130,122.56
  5. Step 5: Solve for x
    x = 69,799,130,122.56/184,878.25
  6. Step 6: Final answer
    x = 377,541.06

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Why These Related Problems?

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