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Finding the Third Proportional to 172,303.50 and 365,064

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Solution

The third proportional to 172,303.50 and 365,064 is: 773,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,303.50 : 365,064 = 365,064 : x
  2. Step 2: Convert to fraction form
    172,303.50/365,064 = 365,064/x
  3. Step 3: Cross multiply
    172,303.50x = 365,064 × 365,064
  4. Step 4: Simplify right side
    172,303.50x = 133,271,724,096
  5. Step 5: Solve for x
    x = 133,271,724,096/172,303.50
  6. Step 6: Final answer
    x = 773,470.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.