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Finding the Third Proportional to 144,737 and 305,026

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Solution

The third proportional to 144,737 and 305,026 is: 642,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,737 : 305,026 = 305,026 : x
  2. Step 2: Convert to fraction form
    144,737/305,026 = 305,026/x
  3. Step 3: Cross multiply
    144,737x = 305,026 × 305,026
  4. Step 4: Simplify right side
    144,737x = 93,040,860,676
  5. Step 5: Solve for x
    x = 93,040,860,676/144,737
  6. Step 6: Final answer
    x = 642,827.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.