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Finding the Third Proportional to 237,336 and 317,037

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Solution

The third proportional to 237,336 and 317,037 is: 423,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,336 : 317,037 = 317,037 : x
  2. Step 2: Convert to fraction form
    237,336/317,037 = 317,037/x
  3. Step 3: Cross multiply
    237,336x = 317,037 × 317,037
  4. Step 4: Simplify right side
    237,336x = 100,512,459,369
  5. Step 5: Solve for x
    x = 100,512,459,369/237,336
  6. Step 6: Final answer
    x = 423,502.80

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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.