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Finding the Third Proportional to 193,152 and 283,947

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Solution

The third proportional to 193,152 and 283,947 is: 417,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,152 : 283,947 = 283,947 : x
  2. Step 2: Convert to fraction form
    193,152/283,947 = 283,947/x
  3. Step 3: Cross multiply
    193,152x = 283,947 × 283,947
  4. Step 4: Simplify right side
    193,152x = 80,625,898,809
  5. Step 5: Solve for x
    x = 80,625,898,809/193,152
  6. Step 6: Final answer
    x = 417,422.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.