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Finding the Third Proportional to 141,759 and 228,406

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Solution

The third proportional to 141,759 and 228,406 is: 368,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,759 : 228,406 = 228,406 : x
  2. Step 2: Convert to fraction form
    141,759/228,406 = 228,406/x
  3. Step 3: Cross multiply
    141,759x = 228,406 × 228,406
  4. Step 4: Simplify right side
    141,759x = 52,169,300,836
  5. Step 5: Solve for x
    x = 52,169,300,836/141,759
  6. Step 6: Final answer
    x = 368,014.03

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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.