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Finding the Third Proportional to 154,026 and 228,780

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Solution

The third proportional to 154,026 and 228,780 is: 339,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,026 : 228,780 = 228,780 : x
  2. Step 2: Convert to fraction form
    154,026/228,780 = 228,780/x
  3. Step 3: Cross multiply
    154,026x = 228,780 × 228,780
  4. Step 4: Simplify right side
    154,026x = 52,340,288,400
  5. Step 5: Solve for x
    x = 52,340,288,400/154,026
  6. Step 6: Final answer
    x = 339,814.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.