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Finding the Third Proportional to 148,435.50 and 302,055

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Solution

The third proportional to 148,435.50 and 302,055 is: 614,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,435.50 : 302,055 = 302,055 : x
  2. Step 2: Convert to fraction form
    148,435.50/302,055 = 302,055/x
  3. Step 3: Cross multiply
    148,435.50x = 302,055 × 302,055
  4. Step 4: Simplify right side
    148,435.50x = 91,237,223,025
  5. Step 5: Solve for x
    x = 91,237,223,025/148,435.50
  6. Step 6: Final answer
    x = 614,659.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.