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Finding the Third Proportional to 237,723.75 and 323,779.50

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Solution

The third proportional to 237,723.75 and 323,779.50 is: 440,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,723.75 : 323,779.50 = 323,779.50 : x
  2. Step 2: Convert to fraction form
    237,723.75/323,779.50 = 323,779.50/x
  3. Step 3: Cross multiply
    237,723.75x = 323,779.50 × 323,779.50
  4. Step 4: Simplify right side
    237,723.75x = 104,833,164,620.25
  5. Step 5: Solve for x
    x = 104,833,164,620.25/237,723.75
  6. Step 6: Final answer
    x = 440,987.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.