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Finding the Third Proportional to 223,986.75 and 346,814.25

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Solution

The third proportional to 223,986.75 and 346,814.25 is: 536,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,986.75 : 346,814.25 = 346,814.25 : x
  2. Step 2: Convert to fraction form
    223,986.75/346,814.25 = 346,814.25/x
  3. Step 3: Cross multiply
    223,986.75x = 346,814.25 × 346,814.25
  4. Step 4: Simplify right side
    223,986.75x = 120,280,124,003.06
  5. Step 5: Solve for x
    x = 120,280,124,003.06/223,986.75
  6. Step 6: Final answer
    x = 536,996.60

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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.