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Finding the Third Proportional to 194,458 and 415,888

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Solution

The third proportional to 194,458 and 415,888 is: 889,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,458 : 415,888 = 415,888 : x
  2. Step 2: Convert to fraction form
    194,458/415,888 = 415,888/x
  3. Step 3: Cross multiply
    194,458x = 415,888 × 415,888
  4. Step 4: Simplify right side
    194,458x = 172,962,828,544
  5. Step 5: Solve for x
    x = 172,962,828,544/194,458
  6. Step 6: Final answer
    x = 889,461.11

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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.