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Finding the Third Proportional to 160,765 and 236,500

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Solution

The third proportional to 160,765 and 236,500 is: 347,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,765 : 236,500 = 236,500 : x
  2. Step 2: Convert to fraction form
    160,765/236,500 = 236,500/x
  3. Step 3: Cross multiply
    160,765x = 236,500 × 236,500
  4. Step 4: Simplify right side
    160,765x = 55,932,250,000
  5. Step 5: Solve for x
    x = 55,932,250,000/160,765
  6. Step 6: Final answer
    x = 347,913.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.