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Finding the Third Proportional to 191,946.75 and 301,080.75

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Solution

The third proportional to 191,946.75 and 301,080.75 is: 472,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,946.75 : 301,080.75 = 301,080.75 : x
  2. Step 2: Convert to fraction form
    191,946.75/301,080.75 = 301,080.75/x
  3. Step 3: Cross multiply
    191,946.75x = 301,080.75 × 301,080.75
  4. Step 4: Simplify right side
    191,946.75x = 90,649,618,020.56
  5. Step 5: Solve for x
    x = 90,649,618,020.56/191,946.75
  6. Step 6: Final answer
    x = 472,264.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.