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Finding the Third Proportional to 167,326 and 245,407

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Solution

The third proportional to 167,326 and 245,407 is: 359,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,326 : 245,407 = 245,407 : x
  2. Step 2: Convert to fraction form
    167,326/245,407 = 245,407/x
  3. Step 3: Cross multiply
    167,326x = 245,407 × 245,407
  4. Step 4: Simplify right side
    167,326x = 60,224,595,649
  5. Step 5: Solve for x
    x = 60,224,595,649/167,326
  6. Step 6: Final answer
    x = 359,923.72

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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.