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Finding the Third Proportional to 148,078.25 and 211,041.38

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Solution

The third proportional to 148,078.25 and 211,041.38 is: 300,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,078.25 : 211,041.38 = 211,041.38 : x
  2. Step 2: Convert to fraction form
    148,078.25/211,041.38 = 211,041.38/x
  3. Step 3: Cross multiply
    148,078.25x = 211,041.38 × 211,041.38
  4. Step 4: Simplify right side
    148,078.25x = 44,538,461,961.89
  5. Step 5: Solve for x
    x = 44,538,461,961.89/148,078.25
  6. Step 6: Final answer
    x = 300,776.53

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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.