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Finding the Third Proportional to 144,972 and 294,021

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Solution

The third proportional to 144,972 and 294,021 is: 596,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,972 : 294,021 = 294,021 : x
  2. Step 2: Convert to fraction form
    144,972/294,021 = 294,021/x
  3. Step 3: Cross multiply
    144,972x = 294,021 × 294,021
  4. Step 4: Simplify right side
    144,972x = 86,448,348,441
  5. Step 5: Solve for x
    x = 86,448,348,441/144,972
  6. Step 6: Final answer
    x = 596,310.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.