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Finding the Third Proportional to 241,337.25 and 361,539

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Solution

The third proportional to 241,337.25 and 361,539 is: 541,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,337.25 : 361,539 = 361,539 : x
  2. Step 2: Convert to fraction form
    241,337.25/361,539 = 361,539/x
  3. Step 3: Cross multiply
    241,337.25x = 361,539 × 361,539
  4. Step 4: Simplify right side
    241,337.25x = 130,710,448,521
  5. Step 5: Solve for x
    x = 130,710,448,521/241,337.25
  6. Step 6: Final answer
    x = 541,609.09

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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.