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Finding the Third Proportional to 158,972 and 325,232

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Solution

The third proportional to 158,972 and 325,232 is: 665,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,972 : 325,232 = 325,232 : x
  2. Step 2: Convert to fraction form
    158,972/325,232 = 325,232/x
  3. Step 3: Cross multiply
    158,972x = 325,232 × 325,232
  4. Step 4: Simplify right side
    158,972x = 105,775,853,824
  5. Step 5: Solve for x
    x = 105,775,853,824/158,972
  6. Step 6: Final answer
    x = 665,374.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.