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Finding the Third Proportional to 194,676.75 and 431,626.50

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Solution

The third proportional to 194,676.75 and 431,626.50 is: 956,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,676.75 : 431,626.50 = 431,626.50 : x
  2. Step 2: Convert to fraction form
    194,676.75/431,626.50 = 431,626.50/x
  3. Step 3: Cross multiply
    194,676.75x = 431,626.50 × 431,626.50
  4. Step 4: Simplify right side
    194,676.75x = 186,301,435,502.25
  5. Step 5: Solve for x
    x = 186,301,435,502.25/194,676.75
  6. Step 6: Final answer
    x = 956,978.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.