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Finding the Third Proportional to 237,818 and 317,037

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Solution

The third proportional to 237,818 and 317,037 is: 422,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,818 : 317,037 = 317,037 : x
  2. Step 2: Convert to fraction form
    237,818/317,037 = 317,037/x
  3. Step 3: Cross multiply
    237,818x = 317,037 × 317,037
  4. Step 4: Simplify right side
    237,818x = 100,512,459,369
  5. Step 5: Solve for x
    x = 100,512,459,369/237,818
  6. Step 6: Final answer
    x = 422,644.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.