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Finding the Third Proportional to 194,050 and 418,717

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Solution

The third proportional to 194,050 and 418,717 is: 903,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,050 : 418,717 = 418,717 : x
  2. Step 2: Convert to fraction form
    194,050/418,717 = 418,717/x
  3. Step 3: Cross multiply
    194,050x = 418,717 × 418,717
  4. Step 4: Simplify right side
    194,050x = 175,323,926,089
  5. Step 5: Solve for x
    x = 175,323,926,089/194,050
  6. Step 6: Final answer
    x = 903,498.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.