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Finding the Third Proportional to 156,571 and 341,570

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Solution

The third proportional to 156,571 and 341,570 is: 745,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,571 : 341,570 = 341,570 : x
  2. Step 2: Convert to fraction form
    156,571/341,570 = 341,570/x
  3. Step 3: Cross multiply
    156,571x = 341,570 × 341,570
  4. Step 4: Simplify right side
    156,571x = 116,670,064,900
  5. Step 5: Solve for x
    x = 116,670,064,900/156,571
  6. Step 6: Final answer
    x = 745,157.56

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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.