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Finding the Third Proportional to 144,256 and 306,944

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Solution

The third proportional to 144,256 and 306,944 is: 653,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,256 : 306,944 = 306,944 : x
  2. Step 2: Convert to fraction form
    144,256/306,944 = 306,944/x
  3. Step 3: Cross multiply
    144,256x = 306,944 × 306,944
  4. Step 4: Simplify right side
    144,256x = 94,214,619,136
  5. Step 5: Solve for x
    x = 94,214,619,136/144,256
  6. Step 6: Final answer
    x = 653,107.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.