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Finding the Third Proportional to 156,675.94 and 341,416.69

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Solution

The third proportional to 156,675.94 and 341,416.69 is: 743,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,675.94 : 341,416.69 = 341,416.69 : x
  2. Step 2: Convert to fraction form
    156,675.94/341,416.69 = 341,416.69/x
  3. Step 3: Cross multiply
    156,675.94x = 341,416.69 × 341,416.69
  4. Step 4: Simplify right side
    156,675.94x = 116,565,354,503.47
  5. Step 5: Solve for x
    x = 116,565,354,503.47/156,675.94
  6. Step 6: Final answer
    x = 743,990.15

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