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Finding the Third Proportional to 241,947 and 364,135.50

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Solution

The third proportional to 241,947 and 364,135.50 is: 548,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,947 : 364,135.50 = 364,135.50 : x
  2. Step 2: Convert to fraction form
    241,947/364,135.50 = 364,135.50/x
  3. Step 3: Cross multiply
    241,947x = 364,135.50 × 364,135.50
  4. Step 4: Simplify right side
    241,947x = 132,594,662,360.25
  5. Step 5: Solve for x
    x = 132,594,662,360.25/241,947
  6. Step 6: Final answer
    x = 548,031.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.