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Finding the Third Proportional to 194,062.08 and 421,774.91

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Solution

The third proportional to 194,062.08 and 421,774.91 is: 916,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,062.08 : 421,774.91 = 421,774.91 : x
  2. Step 2: Convert to fraction form
    194,062.08/421,774.91 = 421,774.91/x
  3. Step 3: Cross multiply
    194,062.08x = 421,774.91 × 421,774.91
  4. Step 4: Simplify right side
    194,062.08x = 177,894,074,837.30
  5. Step 5: Solve for x
    x = 177,894,074,837.30/194,062.08
  6. Step 6: Final answer
    x = 916,686.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.