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Finding the Third Proportional to 228,795 and 347,857.50

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Solution

The third proportional to 228,795 and 347,857.50 is: 528,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,795 : 347,857.50 = 347,857.50 : x
  2. Step 2: Convert to fraction form
    228,795/347,857.50 = 347,857.50/x
  3. Step 3: Cross multiply
    228,795x = 347,857.50 × 347,857.50
  4. Step 4: Simplify right side
    228,795x = 121,004,840,306.25
  5. Step 5: Solve for x
    x = 121,004,840,306.25/228,795
  6. Step 6: Final answer
    x = 528,878.87

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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.