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Finding the Third Proportional to 228,763 and 344,944.50

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Solution

The third proportional to 228,763 and 344,944.50 is: 520,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,763 : 344,944.50 = 344,944.50 : x
  2. Step 2: Convert to fraction form
    228,763/344,944.50 = 344,944.50/x
  3. Step 3: Cross multiply
    228,763x = 344,944.50 × 344,944.50
  4. Step 4: Simplify right side
    228,763x = 118,986,708,080.25
  5. Step 5: Solve for x
    x = 118,986,708,080.25/228,763
  6. Step 6: Final answer
    x = 520,130.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.