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Finding the Third Proportional to 241,314.75 and 361,506

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Solution

The third proportional to 241,314.75 and 361,506 is: 541,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,314.75 : 361,506 = 361,506 : x
  2. Step 2: Convert to fraction form
    241,314.75/361,506 = 361,506/x
  3. Step 3: Cross multiply
    241,314.75x = 361,506 × 361,506
  4. Step 4: Simplify right side
    241,314.75x = 130,686,588,036
  5. Step 5: Solve for x
    x = 130,686,588,036/241,314.75
  6. Step 6: Final answer
    x = 541,560.71

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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.