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Finding the Third Proportional to 72,295.50 and 155,458.50

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Solution

The third proportional to 72,295.50 and 155,458.50 is: 334,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,295.50 : 155,458.50 = 155,458.50 : x
  2. Step 2: Convert to fraction form
    72,295.50/155,458.50 = 155,458.50/x
  3. Step 3: Cross multiply
    72,295.50x = 155,458.50 × 155,458.50
  4. Step 4: Simplify right side
    72,295.50x = 24,167,345,222.25
  5. Step 5: Solve for x
    x = 24,167,345,222.25/72,295.50
  6. Step 6: Final answer
    x = 334,285.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.