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Finding the Third Proportional to 193,124 and 403,888

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Solution

The third proportional to 193,124 and 403,888 is: 844,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,124 : 403,888 = 403,888 : x
  2. Step 2: Convert to fraction form
    193,124/403,888 = 403,888/x
  3. Step 3: Cross multiply
    193,124x = 403,888 × 403,888
  4. Step 4: Simplify right side
    193,124x = 163,125,516,544
  5. Step 5: Solve for x
    x = 163,125,516,544/193,124
  6. Step 6: Final answer
    x = 844,667.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.