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Finding the Third Proportional to 152,419 and 226,421

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Solution

The third proportional to 152,419 and 226,421 is: 336,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,419 : 226,421 = 226,421 : x
  2. Step 2: Convert to fraction form
    152,419/226,421 = 226,421/x
  3. Step 3: Cross multiply
    152,419x = 226,421 × 226,421
  4. Step 4: Simplify right side
    152,419x = 51,266,469,241
  5. Step 5: Solve for x
    x = 51,266,469,241/152,419
  6. Step 6: Final answer
    x = 336,352.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.