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Finding the Third Proportional to 156,379 and 341,437

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Solution

The third proportional to 156,379 and 341,437 is: 745,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,379 : 341,437 = 341,437 : x
  2. Step 2: Convert to fraction form
    156,379/341,437 = 341,437/x
  3. Step 3: Cross multiply
    156,379x = 341,437 × 341,437
  4. Step 4: Simplify right side
    156,379x = 116,579,224,969
  5. Step 5: Solve for x
    x = 116,579,224,969/156,379
  6. Step 6: Final answer
    x = 745,491.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.