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Finding the Third Proportional to 155,670 and 342,444

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Solution

The third proportional to 155,670 and 342,444 is: 753,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,670 : 342,444 = 342,444 : x
  2. Step 2: Convert to fraction form
    155,670/342,444 = 342,444/x
  3. Step 3: Cross multiply
    155,670x = 342,444 × 342,444
  4. Step 4: Simplify right side
    155,670x = 117,267,893,136
  5. Step 5: Solve for x
    x = 117,267,893,136/155,670
  6. Step 6: Final answer
    x = 753,310.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.