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Finding the Third Proportional to 165,015 and 235,378.50

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Solution

The third proportional to 165,015 and 235,378.50 is: 335,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,015 : 235,378.50 = 235,378.50 : x
  2. Step 2: Convert to fraction form
    165,015/235,378.50 = 235,378.50/x
  3. Step 3: Cross multiply
    165,015x = 235,378.50 × 235,378.50
  4. Step 4: Simplify right side
    165,015x = 55,403,038,262.25
  5. Step 5: Solve for x
    x = 55,403,038,262.25/165,015
  6. Step 6: Final answer
    x = 335,745.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.