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Finding the Third Proportional to 191,556 and 306,012

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Solution

The third proportional to 191,556 and 306,012 is: 488,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,556 : 306,012 = 306,012 : x
  2. Step 2: Convert to fraction form
    191,556/306,012 = 306,012/x
  3. Step 3: Cross multiply
    191,556x = 306,012 × 306,012
  4. Step 4: Simplify right side
    191,556x = 93,643,344,144
  5. Step 5: Solve for x
    x = 93,643,344,144/191,556
  6. Step 6: Final answer
    x = 488,856.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.