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Finding the Third Proportional to 145,224 and 233,958

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Solution

The third proportional to 145,224 and 233,958 is: 376,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,224 : 233,958 = 233,958 : x
  2. Step 2: Convert to fraction form
    145,224/233,958 = 233,958/x
  3. Step 3: Cross multiply
    145,224x = 233,958 × 233,958
  4. Step 4: Simplify right side
    145,224x = 54,736,345,764
  5. Step 5: Solve for x
    x = 54,736,345,764/145,224
  6. Step 6: Final answer
    x = 376,909.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.