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Finding the Third Proportional to 156,349.14 and 341,372.23

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Solution

The third proportional to 156,349.14 and 341,372.23 is: 745,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,349.14 : 341,372.23 = 341,372.23 : x
  2. Step 2: Convert to fraction form
    156,349.14/341,372.23 = 341,372.23/x
  3. Step 3: Cross multiply
    156,349.14x = 341,372.23 × 341,372.23
  4. Step 4: Simplify right side
    156,349.14x = 116,534,996,568.20
  5. Step 5: Solve for x
    x = 116,534,996,568.20/156,349.14
  6. Step 6: Final answer
    x = 745,351.04

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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.