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Finding the Third Proportional to 156,152 and 248,280

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Solution

The third proportional to 156,152 and 248,280 is: 394,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,152 : 248,280 = 248,280 : x
  2. Step 2: Convert to fraction form
    156,152/248,280 = 248,280/x
  3. Step 3: Cross multiply
    156,152x = 248,280 × 248,280
  4. Step 4: Simplify right side
    156,152x = 61,642,958,400
  5. Step 5: Solve for x
    x = 61,642,958,400/156,152
  6. Step 6: Final answer
    x = 394,762.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.