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Finding the Third Proportional to 191,795.34 and 283,975.88

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Solution

The third proportional to 191,795.34 and 283,975.88 is: 420,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,795.34 : 283,975.88 = 283,975.88 : x
  2. Step 2: Convert to fraction form
    191,795.34/283,975.88 = 283,975.88/x
  3. Step 3: Cross multiply
    191,795.34x = 283,975.88 × 283,975.88
  4. Step 4: Simplify right side
    191,795.34x = 80,642,297,582.02
  5. Step 5: Solve for x
    x = 80,642,297,582.02/191,795.34
  6. Step 6: Final answer
    x = 420,460.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.