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Finding the Third Proportional to 226,801.50 and 488,271

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Solution

The third proportional to 226,801.50 and 488,271 is: 1,051,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,801.50 : 488,271 = 488,271 : x
  2. Step 2: Convert to fraction form
    226,801.50/488,271 = 488,271/x
  3. Step 3: Cross multiply
    226,801.50x = 488,271 × 488,271
  4. Step 4: Simplify right side
    226,801.50x = 238,408,569,441
  5. Step 5: Solve for x
    x = 238,408,569,441/226,801.50
  6. Step 6: Final answer
    x = 1,051,177.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.