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Finding the Third Proportional to 156,948 and 343,037

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Solution

The third proportional to 156,948 and 343,037 is: 749,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 343,037 = 343,037 : x
  2. Step 2: Convert to fraction form
    156,948/343,037 = 343,037/x
  3. Step 3: Cross multiply
    156,948x = 343,037 × 343,037
  4. Step 4: Simplify right side
    156,948x = 117,674,383,369
  5. Step 5: Solve for x
    x = 117,674,383,369/156,948
  6. Step 6: Final answer
    x = 749,766.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.