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Finding the Third Proportional to 241,305.75 and 367,146

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Solution

The third proportional to 241,305.75 and 367,146 is: 558,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,305.75 : 367,146 = 367,146 : x
  2. Step 2: Convert to fraction form
    241,305.75/367,146 = 367,146/x
  3. Step 3: Cross multiply
    241,305.75x = 367,146 × 367,146
  4. Step 4: Simplify right side
    241,305.75x = 134,796,185,316
  5. Step 5: Solve for x
    x = 134,796,185,316/241,305.75
  6. Step 6: Final answer
    x = 558,611.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.