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Finding the Third Proportional to 94,278 and 203,315

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Solution

The third proportional to 94,278 and 203,315 is: 438,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,278 : 203,315 = 203,315 : x
  2. Step 2: Convert to fraction form
    94,278/203,315 = 203,315/x
  3. Step 3: Cross multiply
    94,278x = 203,315 × 203,315
  4. Step 4: Simplify right side
    94,278x = 41,336,989,225
  5. Step 5: Solve for x
    x = 41,336,989,225/94,278
  6. Step 6: Final answer
    x = 438,458.49

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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.