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Finding the Third Proportional to 160,945 and 236,491

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Solution

The third proportional to 160,945 and 236,491 is: 347,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,945 : 236,491 = 236,491 : x
  2. Step 2: Convert to fraction form
    160,945/236,491 = 236,491/x
  3. Step 3: Cross multiply
    160,945x = 236,491 × 236,491
  4. Step 4: Simplify right side
    160,945x = 55,927,993,081
  5. Step 5: Solve for x
    x = 55,927,993,081/160,945
  6. Step 6: Final answer
    x = 347,497.55

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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.