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Finding the Third Proportional to 160,941 and 236,485

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Solution

The third proportional to 160,941 and 236,485 is: 347,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,941 : 236,485 = 236,485 : x
  2. Step 2: Convert to fraction form
    160,941/236,485 = 236,485/x
  3. Step 3: Cross multiply
    160,941x = 236,485 × 236,485
  4. Step 4: Simplify right side
    160,941x = 55,925,155,225
  5. Step 5: Solve for x
    x = 55,925,155,225/160,941
  6. Step 6: Final answer
    x = 347,488.55

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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.