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Finding the Third Proportional to 94,688 and 206,323

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Solution

The third proportional to 94,688 and 206,323 is: 449,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,688 : 206,323 = 206,323 : x
  2. Step 2: Convert to fraction form
    94,688/206,323 = 206,323/x
  3. Step 3: Cross multiply
    94,688x = 206,323 × 206,323
  4. Step 4: Simplify right side
    94,688x = 42,569,180,329
  5. Step 5: Solve for x
    x = 42,569,180,329/94,688
  6. Step 6: Final answer
    x = 449,573.13

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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.