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Finding the Third Proportional to 193,125 and 403,890

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Solution

The third proportional to 193,125 and 403,890 is: 844,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,125 : 403,890 = 403,890 : x
  2. Step 2: Convert to fraction form
    193,125/403,890 = 403,890/x
  3. Step 3: Cross multiply
    193,125x = 403,890 × 403,890
  4. Step 4: Simplify right side
    193,125x = 163,127,132,100
  5. Step 5: Solve for x
    x = 163,127,132,100/193,125
  6. Step 6: Final answer
    x = 844,671.23

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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.