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Finding the Third Proportional to 140,264 and 306,232

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Solution

The third proportional to 140,264 and 306,232 is: 668,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,264 : 306,232 = 306,232 : x
  2. Step 2: Convert to fraction form
    140,264/306,232 = 306,232/x
  3. Step 3: Cross multiply
    140,264x = 306,232 × 306,232
  4. Step 4: Simplify right side
    140,264x = 93,778,037,824
  5. Step 5: Solve for x
    x = 93,778,037,824/140,264
  6. Step 6: Final answer
    x = 668,582.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.