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Finding the Third Proportional to 195,316 and 418,280

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Solution

The third proportional to 195,316 and 418,280 is: 895,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,316 : 418,280 = 418,280 : x
  2. Step 2: Convert to fraction form
    195,316/418,280 = 418,280/x
  3. Step 3: Cross multiply
    195,316x = 418,280 × 418,280
  4. Step 4: Simplify right side
    195,316x = 174,958,158,400
  5. Step 5: Solve for x
    x = 174,958,158,400/195,316
  6. Step 6: Final answer
    x = 895,769.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.