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Finding the Third Proportional to 193,365 and 416,352

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Solution

The third proportional to 193,365 and 416,352 is: 896,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,365 : 416,352 = 416,352 : x
  2. Step 2: Convert to fraction form
    193,365/416,352 = 416,352/x
  3. Step 3: Cross multiply
    193,365x = 416,352 × 416,352
  4. Step 4: Simplify right side
    193,365x = 173,348,987,904
  5. Step 5: Solve for x
    x = 173,348,987,904/193,365
  6. Step 6: Final answer
    x = 896,485.86

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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.