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Finding the Third Proportional to 148,346.44 and 307,197.56

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Solution

The third proportional to 148,346.44 and 307,197.56 is: 636,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,346.44 : 307,197.56 = 307,197.56 : x
  2. Step 2: Convert to fraction form
    148,346.44/307,197.56 = 307,197.56/x
  3. Step 3: Cross multiply
    148,346.44x = 307,197.56 × 307,197.56
  4. Step 4: Simplify right side
    148,346.44x = 94,370,342,405.94
  5. Step 5: Solve for x
    x = 94,370,342,405.94/148,346.44
  6. Step 6: Final answer
    x = 636,148.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.