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Finding the Third Proportional to 148,114.50 and 211,654.50

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Solution

The third proportional to 148,114.50 and 211,654.50 is: 302,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,114.50 : 211,654.50 = 211,654.50 : x
  2. Step 2: Convert to fraction form
    148,114.50/211,654.50 = 211,654.50/x
  3. Step 3: Cross multiply
    148,114.50x = 211,654.50 × 211,654.50
  4. Step 4: Simplify right side
    148,114.50x = 44,797,627,370.25
  5. Step 5: Solve for x
    x = 44,797,627,370.25/148,114.50
  6. Step 6: Final answer
    x = 302,452.68

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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.