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Finding the Third Proportional to 194,382 and 418,290

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Solution

The third proportional to 194,382 and 418,290 is: 900,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,382 : 418,290 = 418,290 : x
  2. Step 2: Convert to fraction form
    194,382/418,290 = 418,290/x
  3. Step 3: Cross multiply
    194,382x = 418,290 × 418,290
  4. Step 4: Simplify right side
    194,382x = 174,966,524,100
  5. Step 5: Solve for x
    x = 174,966,524,100/194,382
  6. Step 6: Final answer
    x = 900,116.90

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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.