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Finding the Third Proportional to 148,290.12 and 307,099.48

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Solution

The third proportional to 148,290.12 and 307,099.48 is: 635,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,290.12 : 307,099.48 = 307,099.48 : x
  2. Step 2: Convert to fraction form
    148,290.12/307,099.48 = 307,099.48/x
  3. Step 3: Cross multiply
    148,290.12x = 307,099.48 × 307,099.48
  4. Step 4: Simplify right side
    148,290.12x = 94,310,088,504.96
  5. Step 5: Solve for x
    x = 94,310,088,504.96/148,290.12
  6. Step 6: Final answer
    x = 635,983.64

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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.