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Finding the Third Proportional to 154,068 and 323,040

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Solution

The third proportional to 154,068 and 323,040 is: 677,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,068 : 323,040 = 323,040 : x
  2. Step 2: Convert to fraction form
    154,068/323,040 = 323,040/x
  3. Step 3: Cross multiply
    154,068x = 323,040 × 323,040
  4. Step 4: Simplify right side
    154,068x = 104,354,841,600
  5. Step 5: Solve for x
    x = 104,354,841,600/154,068
  6. Step 6: Final answer
    x = 677,329.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.