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Finding the Third Proportional to 144,823 and 307,126

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Solution

The third proportional to 144,823 and 307,126 is: 651,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,823 : 307,126 = 307,126 : x
  2. Step 2: Convert to fraction form
    144,823/307,126 = 307,126/x
  3. Step 3: Cross multiply
    144,823x = 307,126 × 307,126
  4. Step 4: Simplify right side
    144,823x = 94,326,379,876
  5. Step 5: Solve for x
    x = 94,326,379,876/144,823
  6. Step 6: Final answer
    x = 651,321.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.