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Finding the Third Proportional to 214,524 and 315,589.50

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Solution

The third proportional to 214,524 and 315,589.50 is: 464,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,524 : 315,589.50 = 315,589.50 : x
  2. Step 2: Convert to fraction form
    214,524/315,589.50 = 315,589.50/x
  3. Step 3: Cross multiply
    214,524x = 315,589.50 × 315,589.50
  4. Step 4: Simplify right side
    214,524x = 99,596,732,510.25
  5. Step 5: Solve for x
    x = 99,596,732,510.25/214,524
  6. Step 6: Final answer
    x = 464,268.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.