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Finding the Third Proportional to 162,045 and 353,148.75

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Solution

The third proportional to 162,045 and 353,148.75 is: 769,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,045 : 353,148.75 = 353,148.75 : x
  2. Step 2: Convert to fraction form
    162,045/353,148.75 = 353,148.75/x
  3. Step 3: Cross multiply
    162,045x = 353,148.75 × 353,148.75
  4. Step 4: Simplify right side
    162,045x = 124,714,039,626.56
  5. Step 5: Solve for x
    x = 124,714,039,626.56/162,045
  6. Step 6: Final answer
    x = 769,625.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.