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Finding the Third Proportional to 165,415.50 and 232,945.88

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Solution

The third proportional to 165,415.50 and 232,945.88 is: 328,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,415.50 : 232,945.88 = 232,945.88 : x
  2. Step 2: Convert to fraction form
    165,415.50/232,945.88 = 232,945.88/x
  3. Step 3: Cross multiply
    165,415.50x = 232,945.88 × 232,945.88
  4. Step 4: Simplify right side
    165,415.50x = 54,263,780,679.52
  5. Step 5: Solve for x
    x = 54,263,780,679.52/165,415.50
  6. Step 6: Final answer
    x = 328,045.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.