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Finding the Third Proportional to 193,283.58 and 416,060.86

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Solution

The third proportional to 193,283.58 and 416,060.86 is: 895,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,283.58 : 416,060.86 = 416,060.86 : x
  2. Step 2: Convert to fraction form
    193,283.58/416,060.86 = 416,060.86/x
  3. Step 3: Cross multiply
    193,283.58x = 416,060.86 × 416,060.86
  4. Step 4: Simplify right side
    193,283.58x = 173,106,638,703.86
  5. Step 5: Solve for x
    x = 173,106,638,703.86/193,283.58
  6. Step 6: Final answer
    x = 895,609.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.