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Finding the Third Proportional to 193,284 and 392,032

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Solution

The third proportional to 193,284 and 392,032 is: 795,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,284 : 392,032 = 392,032 : x
  2. Step 2: Convert to fraction form
    193,284/392,032 = 392,032/x
  3. Step 3: Cross multiply
    193,284x = 392,032 × 392,032
  4. Step 4: Simplify right side
    193,284x = 153,689,089,024
  5. Step 5: Solve for x
    x = 153,689,089,024/193,284
  6. Step 6: Final answer
    x = 795,146.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.