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Finding the Third Proportional to 194,850 and 418,816

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Solution

The third proportional to 194,850 and 418,816 is: 900,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,850 : 418,816 = 418,816 : x
  2. Step 2: Convert to fraction form
    194,850/418,816 = 418,816/x
  3. Step 3: Cross multiply
    194,850x = 418,816 × 418,816
  4. Step 4: Simplify right side
    194,850x = 175,406,841,856
  5. Step 5: Solve for x
    x = 175,406,841,856/194,850
  6. Step 6: Final answer
    x = 900,214.74

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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.