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Finding the Third Proportional to 223,269.75 and 458,385.75

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Solution

The third proportional to 223,269.75 and 458,385.75 is: 941,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,269.75 : 458,385.75 = 458,385.75 : x
  2. Step 2: Convert to fraction form
    223,269.75/458,385.75 = 458,385.75/x
  3. Step 3: Cross multiply
    223,269.75x = 458,385.75 × 458,385.75
  4. Step 4: Simplify right side
    223,269.75x = 210,117,495,803.06
  5. Step 5: Solve for x
    x = 210,117,495,803.06/223,269.75
  6. Step 6: Final answer
    x = 941,092.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.