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Finding the Third Proportional to 228,403.75 and 319,312.75

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Solution

The third proportional to 228,403.75 and 319,312.75 is: 446,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,403.75 : 319,312.75 = 319,312.75 : x
  2. Step 2: Convert to fraction form
    228,403.75/319,312.75 = 319,312.75/x
  3. Step 3: Cross multiply
    228,403.75x = 319,312.75 × 319,312.75
  4. Step 4: Simplify right side
    228,403.75x = 101,960,632,312.56
  5. Step 5: Solve for x
    x = 101,960,632,312.56/228,403.75
  6. Step 6: Final answer
    x = 446,405.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.