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Finding the Third Proportional to 226,176 and 339,291

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Solution

The third proportional to 226,176 and 339,291 is: 508,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,176 : 339,291 = 339,291 : x
  2. Step 2: Convert to fraction form
    226,176/339,291 = 339,291/x
  3. Step 3: Cross multiply
    226,176x = 339,291 × 339,291
  4. Step 4: Simplify right side
    226,176x = 115,118,382,681
  5. Step 5: Solve for x
    x = 115,118,382,681/226,176
  6. Step 6: Final answer
    x = 508,977.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.