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Finding the Third Proportional to 194,922 and 285,465

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Solution

The third proportional to 194,922 and 285,465 is: 418,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,922 : 285,465 = 285,465 : x
  2. Step 2: Convert to fraction form
    194,922/285,465 = 285,465/x
  3. Step 3: Cross multiply
    194,922x = 285,465 × 285,465
  4. Step 4: Simplify right side
    194,922x = 81,490,266,225
  5. Step 5: Solve for x
    x = 81,490,266,225/194,922
  6. Step 6: Final answer
    x = 418,066.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.