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Finding the Third Proportional to 94,766 and 204,294

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Solution

The third proportional to 94,766 and 204,294 is: 440,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,766 : 204,294 = 204,294 : x
  2. Step 2: Convert to fraction form
    94,766/204,294 = 204,294/x
  3. Step 3: Cross multiply
    94,766x = 204,294 × 204,294
  4. Step 4: Simplify right side
    94,766x = 41,736,038,436
  5. Step 5: Solve for x
    x = 41,736,038,436/94,766
  6. Step 6: Final answer
    x = 440,411.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.