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Finding the Third Proportional to 165,542.63 and 262,307.25

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Solution

The third proportional to 165,542.63 and 262,307.25 is: 415,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,542.63 : 262,307.25 = 262,307.25 : x
  2. Step 2: Convert to fraction form
    165,542.63/262,307.25 = 262,307.25/x
  3. Step 3: Cross multiply
    165,542.63x = 262,307.25 × 262,307.25
  4. Step 4: Simplify right side
    165,542.63x = 68,805,093,402.56
  5. Step 5: Solve for x
    x = 68,805,093,402.56/165,542.63
  6. Step 6: Final answer
    x = 415,633.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.