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Finding the Third Proportional to 194,460 and 415,896

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Solution

The third proportional to 194,460 and 415,896 is: 889,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,460 : 415,896 = 415,896 : x
  2. Step 2: Convert to fraction form
    194,460/415,896 = 415,896/x
  3. Step 3: Cross multiply
    194,460x = 415,896 × 415,896
  4. Step 4: Simplify right side
    194,460x = 172,969,482,816
  5. Step 5: Solve for x
    x = 172,969,482,816/194,460
  6. Step 6: Final answer
    x = 889,486.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.