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Finding the Third Proportional to 241,332.75 and 361,533.38

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Solution

The third proportional to 241,332.75 and 361,533.38 is: 541,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,332.75 : 361,533.38 = 361,533.38 : x
  2. Step 2: Convert to fraction form
    241,332.75/361,533.38 = 361,533.38/x
  3. Step 3: Cross multiply
    241,332.75x = 361,533.38 × 361,533.38
  4. Step 4: Simplify right side
    241,332.75x = 130,706,381,238.89
  5. Step 5: Solve for x
    x = 130,706,381,238.89/241,332.75
  6. Step 6: Final answer
    x = 541,602.34

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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.