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Finding the Third Proportional to 233,216 and 360,131

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Solution

The third proportional to 233,216 and 360,131 is: 556,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,216 : 360,131 = 360,131 : x
  2. Step 2: Convert to fraction form
    233,216/360,131 = 360,131/x
  3. Step 3: Cross multiply
    233,216x = 360,131 × 360,131
  4. Step 4: Simplify right side
    233,216x = 129,694,337,161
  5. Step 5: Solve for x
    x = 129,694,337,161/233,216
  6. Step 6: Final answer
    x = 556,112.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.