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Finding the Third Proportional to 235,633.50 and 374,568.75

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Solution

The third proportional to 235,633.50 and 374,568.75 is: 595,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,633.50 : 374,568.75 = 374,568.75 : x
  2. Step 2: Convert to fraction form
    235,633.50/374,568.75 = 374,568.75/x
  3. Step 3: Cross multiply
    235,633.50x = 374,568.75 × 374,568.75
  4. Step 4: Simplify right side
    235,633.50x = 140,301,748,476.56
  5. Step 5: Solve for x
    x = 140,301,748,476.56/235,633.50
  6. Step 6: Final answer
    x = 595,423.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.