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Finding the Third Proportional to 194,184 and 421,584

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Solution

The third proportional to 194,184 and 421,584 is: 915,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,184 : 421,584 = 421,584 : x
  2. Step 2: Convert to fraction form
    194,184/421,584 = 421,584/x
  3. Step 3: Cross multiply
    194,184x = 421,584 × 421,584
  4. Step 4: Simplify right side
    194,184x = 177,733,069,056
  5. Step 5: Solve for x
    x = 177,733,069,056/194,184
  6. Step 6: Final answer
    x = 915,281.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.