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Finding the Third Proportional to 245,196 and 368,041

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Solution

The third proportional to 245,196 and 368,041 is: 552,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,196 : 368,041 = 368,041 : x
  2. Step 2: Convert to fraction form
    245,196/368,041 = 368,041/x
  3. Step 3: Cross multiply
    245,196x = 368,041 × 368,041
  4. Step 4: Simplify right side
    245,196x = 135,454,177,681
  5. Step 5: Solve for x
    x = 135,454,177,681/245,196
  6. Step 6: Final answer
    x = 552,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.