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Finding the Third Proportional to 241,458 and 366,201

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Solution

The third proportional to 241,458 and 366,201 is: 555,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,458 : 366,201 = 366,201 : x
  2. Step 2: Convert to fraction form
    241,458/366,201 = 366,201/x
  3. Step 3: Cross multiply
    241,458x = 366,201 × 366,201
  4. Step 4: Simplify right side
    241,458x = 134,103,172,401
  5. Step 5: Solve for x
    x = 134,103,172,401/241,458
  6. Step 6: Final answer
    x = 555,389.23

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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.