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Finding the Third Proportional to 201,734 and 293,142

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Solution

The third proportional to 201,734 and 293,142 is: 425,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734 : 293,142 = 293,142 : x
  2. Step 2: Convert to fraction form
    201,734/293,142 = 293,142/x
  3. Step 3: Cross multiply
    201,734x = 293,142 × 293,142
  4. Step 4: Simplify right side
    201,734x = 85,932,232,164
  5. Step 5: Solve for x
    x = 85,932,232,164/201,734
  6. Step 6: Final answer
    x = 425,968.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.