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Finding the Third Proportional to 94,342 and 205,340

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Solution

The third proportional to 94,342 and 205,340 is: 446,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,342 : 205,340 = 205,340 : x
  2. Step 2: Convert to fraction form
    94,342/205,340 = 205,340/x
  3. Step 3: Cross multiply
    94,342x = 205,340 × 205,340
  4. Step 4: Simplify right side
    94,342x = 42,164,515,600
  5. Step 5: Solve for x
    x = 42,164,515,600/94,342
  6. Step 6: Final answer
    x = 446,932.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.