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Finding the Third Proportional to 193,091 and 418,348

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Solution

The third proportional to 193,091 and 418,348 is: 906,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,091 : 418,348 = 418,348 : x
  2. Step 2: Convert to fraction form
    193,091/418,348 = 418,348/x
  3. Step 3: Cross multiply
    193,091x = 418,348 × 418,348
  4. Step 4: Simplify right side
    193,091x = 175,015,049,104
  5. Step 5: Solve for x
    x = 175,015,049,104/193,091
  6. Step 6: Final answer
    x = 906,386.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.