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Finding the Third Proportional to 241,907.06 and 384,311.81

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Solution

The third proportional to 241,907.06 and 384,311.81 is: 610,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,907.06 : 384,311.81 = 384,311.81 : x
  2. Step 2: Convert to fraction form
    241,907.06/384,311.81 = 384,311.81/x
  3. Step 3: Cross multiply
    241,907.06x = 384,311.81 × 384,311.81
  4. Step 4: Simplify right side
    241,907.06x = 147,695,569,227.04
  5. Step 5: Solve for x
    x = 147,695,569,227.04/241,907.06
  6. Step 6: Final answer
    x = 610,546.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.