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Finding the Third Proportional to 228,750 and 347,013

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Solution

The third proportional to 228,750 and 347,013 is: 526,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,750 : 347,013 = 347,013 : x
  2. Step 2: Convert to fraction form
    228,750/347,013 = 347,013/x
  3. Step 3: Cross multiply
    228,750x = 347,013 × 347,013
  4. Step 4: Simplify right side
    228,750x = 120,418,022,169
  5. Step 5: Solve for x
    x = 120,418,022,169/228,750
  6. Step 6: Final answer
    x = 526,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.