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Finding the Third Proportional to 141,749 and 228,393

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Solution

The third proportional to 141,749 and 228,393 is: 367,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,749 : 228,393 = 228,393 : x
  2. Step 2: Convert to fraction form
    141,749/228,393 = 228,393/x
  3. Step 3: Cross multiply
    141,749x = 228,393 × 228,393
  4. Step 4: Simplify right side
    141,749x = 52,163,362,449
  5. Step 5: Solve for x
    x = 52,163,362,449/141,749
  6. Step 6: Final answer
    x = 367,998.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.