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Finding the Third Proportional to 94,082 and 203,332

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Solution

The third proportional to 94,082 and 203,332 is: 439,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,082 : 203,332 = 203,332 : x
  2. Step 2: Convert to fraction form
    94,082/203,332 = 203,332/x
  3. Step 3: Cross multiply
    94,082x = 203,332 × 203,332
  4. Step 4: Simplify right side
    94,082x = 41,343,902,224
  5. Step 5: Solve for x
    x = 41,343,902,224/94,082
  6. Step 6: Final answer
    x = 439,445.40

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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.