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Finding the Third Proportional to 167,196 and 245,448

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Solution

The third proportional to 167,196 and 245,448 is: 360,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,196 : 245,448 = 245,448 : x
  2. Step 2: Convert to fraction form
    167,196/245,448 = 245,448/x
  3. Step 3: Cross multiply
    167,196x = 245,448 × 245,448
  4. Step 4: Simplify right side
    167,196x = 60,244,720,704
  5. Step 5: Solve for x
    x = 60,244,720,704/167,196
  6. Step 6: Final answer
    x = 360,323.94

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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.