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Finding the Third Proportional to 145,494 and 313,924.50

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Solution

The third proportional to 145,494 and 313,924.50 is: 677,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,494 : 313,924.50 = 313,924.50 : x
  2. Step 2: Convert to fraction form
    145,494/313,924.50 = 313,924.50/x
  3. Step 3: Cross multiply
    145,494x = 313,924.50 × 313,924.50
  4. Step 4: Simplify right side
    145,494x = 98,548,591,700.25
  5. Step 5: Solve for x
    x = 98,548,591,700.25/145,494
  6. Step 6: Final answer
    x = 677,337.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.