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Finding the Third Proportional to 141,037 and 307,794

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Solution

The third proportional to 141,037 and 307,794 is: 671,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,037 : 307,794 = 307,794 : x
  2. Step 2: Convert to fraction form
    141,037/307,794 = 307,794/x
  3. Step 3: Cross multiply
    141,037x = 307,794 × 307,794
  4. Step 4: Simplify right side
    141,037x = 94,737,146,436
  5. Step 5: Solve for x
    x = 94,737,146,436/141,037
  6. Step 6: Final answer
    x = 671,718.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.