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Finding the Third Proportional to 245,195 and 368,039

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Solution

The third proportional to 245,195 and 368,039 is: 552,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,195 : 368,039 = 368,039 : x
  2. Step 2: Convert to fraction form
    245,195/368,039 = 368,039/x
  3. Step 3: Cross multiply
    245,195x = 368,039 × 368,039
  4. Step 4: Simplify right side
    245,195x = 135,452,705,521
  5. Step 5: Solve for x
    x = 135,452,705,521/245,195
  6. Step 6: Final answer
    x = 552,428.50

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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.