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Finding the Third Proportional to 119,496 and 251,232

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Solution

The third proportional to 119,496 and 251,232 is: 528,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,496 : 251,232 = 251,232 : x
  2. Step 2: Convert to fraction form
    119,496/251,232 = 251,232/x
  3. Step 3: Cross multiply
    119,496x = 251,232 × 251,232
  4. Step 4: Simplify right side
    119,496x = 63,117,517,824
  5. Step 5: Solve for x
    x = 63,117,517,824/119,496
  6. Step 6: Final answer
    x = 528,197.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.