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Finding the Third Proportional to 165,835.50 and 250,140.75

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Solution

The third proportional to 165,835.50 and 250,140.75 is: 377,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,835.50 : 250,140.75 = 250,140.75 : x
  2. Step 2: Convert to fraction form
    165,835.50/250,140.75 = 250,140.75/x
  3. Step 3: Cross multiply
    165,835.50x = 250,140.75 × 250,140.75
  4. Step 4: Simplify right side
    165,835.50x = 62,570,394,810.56
  5. Step 5: Solve for x
    x = 62,570,394,810.56/165,835.50
  6. Step 6: Final answer
    x = 377,303.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.