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Finding the Third Proportional to 143,904 and 293,516

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Solution

The third proportional to 143,904 and 293,516 is: 598,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,904 : 293,516 = 293,516 : x
  2. Step 2: Convert to fraction form
    143,904/293,516 = 293,516/x
  3. Step 3: Cross multiply
    143,904x = 293,516 × 293,516
  4. Step 4: Simplify right side
    143,904x = 86,151,642,256
  5. Step 5: Solve for x
    x = 86,151,642,256/143,904
  6. Step 6: Final answer
    x = 598,674.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.