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Finding the Third Proportional to 165,152.67 and 248,805.42

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Solution

The third proportional to 165,152.67 and 248,805.42 is: 374,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,152.67 : 248,805.42 = 248,805.42 : x
  2. Step 2: Convert to fraction form
    165,152.67/248,805.42 = 248,805.42/x
  3. Step 3: Cross multiply
    165,152.67x = 248,805.42 × 248,805.42
  4. Step 4: Simplify right side
    165,152.67x = 61,904,137,954.40
  5. Step 5: Solve for x
    x = 61,904,137,954.40/165,152.67
  6. Step 6: Final answer
    x = 374,829.77

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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.