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Finding the Third Proportional to 227,893.50 and 353,787

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Solution

The third proportional to 227,893.50 and 353,787 is: 549,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,893.50 : 353,787 = 353,787 : x
  2. Step 2: Convert to fraction form
    227,893.50/353,787 = 353,787/x
  3. Step 3: Cross multiply
    227,893.50x = 353,787 × 353,787
  4. Step 4: Simplify right side
    227,893.50x = 125,165,241,369
  5. Step 5: Solve for x
    x = 125,165,241,369/227,893.50
  6. Step 6: Final answer
    x = 549,226.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.