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Finding the Third Proportional to 168,650 and 254,082

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Solution

The third proportional to 168,650 and 254,082 is: 382,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,650 : 254,082 = 254,082 : x
  2. Step 2: Convert to fraction form
    168,650/254,082 = 254,082/x
  3. Step 3: Cross multiply
    168,650x = 254,082 × 254,082
  4. Step 4: Simplify right side
    168,650x = 64,557,662,724
  5. Step 5: Solve for x
    x = 64,557,662,724/168,650
  6. Step 6: Final answer
    x = 382,790.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.