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Finding the Third Proportional to 163,078.25 and 248,835.38

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Solution

The third proportional to 163,078.25 and 248,835.38 is: 379,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,078.25 : 248,835.38 = 248,835.38 : x
  2. Step 2: Convert to fraction form
    163,078.25/248,835.38 = 248,835.38/x
  3. Step 3: Cross multiply
    163,078.25x = 248,835.38 × 248,835.38
  4. Step 4: Simplify right side
    163,078.25x = 61,919,043,851.39
  5. Step 5: Solve for x
    x = 61,919,043,851.39/163,078.25
  6. Step 6: Final answer
    x = 379,689.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.