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Finding the Third Proportional to 145,984.50 and 313,793.63

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Solution

The third proportional to 145,984.50 and 313,793.63 is: 674,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,984.50 : 313,793.63 = 313,793.63 : x
  2. Step 2: Convert to fraction form
    145,984.50/313,793.63 = 313,793.63/x
  3. Step 3: Cross multiply
    145,984.50x = 313,793.63 × 313,793.63
  4. Step 4: Simplify right side
    145,984.50x = 98,466,439,090.64
  5. Step 5: Solve for x
    x = 98,466,439,090.64/145,984.50
  6. Step 6: Final answer
    x = 674,499.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.