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Finding the Third Proportional to 202,369 and 312,680

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Solution

The third proportional to 202,369 and 312,680 is: 483,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,369 : 312,680 = 312,680 : x
  2. Step 2: Convert to fraction form
    202,369/312,680 = 312,680/x
  3. Step 3: Cross multiply
    202,369x = 312,680 × 312,680
  4. Step 4: Simplify right side
    202,369x = 97,768,782,400
  5. Step 5: Solve for x
    x = 97,768,782,400/202,369
  6. Step 6: Final answer
    x = 483,121.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.