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Finding the Third Proportional to 207,324 and 320,152

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Solution

The third proportional to 207,324 and 320,152 is: 494,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,324 : 320,152 = 320,152 : x
  2. Step 2: Convert to fraction form
    207,324/320,152 = 320,152/x
  3. Step 3: Cross multiply
    207,324x = 320,152 × 320,152
  4. Step 4: Simplify right side
    207,324x = 102,497,303,104
  5. Step 5: Solve for x
    x = 102,497,303,104/207,324
  6. Step 6: Final answer
    x = 494,382.24

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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.