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Finding the Third Proportional to 202,146 and 313,880

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Solution

The third proportional to 202,146 and 313,880 is: 487,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,146 : 313,880 = 313,880 : x
  2. Step 2: Convert to fraction form
    202,146/313,880 = 313,880/x
  3. Step 3: Cross multiply
    202,146x = 313,880 × 313,880
  4. Step 4: Simplify right side
    202,146x = 98,520,654,400
  5. Step 5: Solve for x
    x = 98,520,654,400/202,146
  6. Step 6: Final answer
    x = 487,373.75

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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.