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Finding the Third Proportional to 94,780 and 202,680

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Solution

The third proportional to 94,780 and 202,680 is: 433,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,780 : 202,680 = 202,680 : x
  2. Step 2: Convert to fraction form
    94,780/202,680 = 202,680/x
  3. Step 3: Cross multiply
    94,780x = 202,680 × 202,680
  4. Step 4: Simplify right side
    94,780x = 41,079,182,400
  5. Step 5: Solve for x
    x = 41,079,182,400/94,780
  6. Step 6: Final answer
    x = 433,416.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.