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Finding the Third Proportional to 195,127 and 419,368

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Solution

The third proportional to 195,127 and 419,368 is: 901,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,127 : 419,368 = 419,368 : x
  2. Step 2: Convert to fraction form
    195,127/419,368 = 419,368/x
  3. Step 3: Cross multiply
    195,127x = 419,368 × 419,368
  4. Step 4: Simplify right side
    195,127x = 175,869,519,424
  5. Step 5: Solve for x
    x = 175,869,519,424/195,127
  6. Step 6: Final answer
    x = 901,307.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.