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Finding the Third Proportional to 144,834 and 303,513

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Solution

The third proportional to 144,834 and 303,513 is: 636,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,834 : 303,513 = 303,513 : x
  2. Step 2: Convert to fraction form
    144,834/303,513 = 303,513/x
  3. Step 3: Cross multiply
    144,834x = 303,513 × 303,513
  4. Step 4: Simplify right side
    144,834x = 92,120,141,169
  5. Step 5: Solve for x
    x = 92,120,141,169/144,834
  6. Step 6: Final answer
    x = 636,039.47

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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.