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Finding the Third Proportional to 237,381 and 317,103

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Solution

The third proportional to 237,381 and 317,103 is: 423,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,381 : 317,103 = 317,103 : x
  2. Step 2: Convert to fraction form
    237,381/317,103 = 317,103/x
  3. Step 3: Cross multiply
    237,381x = 317,103 × 317,103
  4. Step 4: Simplify right side
    237,381x = 100,554,312,609
  5. Step 5: Solve for x
    x = 100,554,312,609/237,381
  6. Step 6: Final answer
    x = 423,598.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.