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Finding the Third Proportional to 156,069 and 248,361

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Solution

The third proportional to 156,069 and 248,361 is: 395,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,069 : 248,361 = 248,361 : x
  2. Step 2: Convert to fraction form
    156,069/248,361 = 248,361/x
  3. Step 3: Cross multiply
    156,069x = 248,361 × 248,361
  4. Step 4: Simplify right side
    156,069x = 61,683,186,321
  5. Step 5: Solve for x
    x = 61,683,186,321/156,069
  6. Step 6: Final answer
    x = 395,230.23

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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.