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Finding the Third Proportional to 140,742 and 306,732

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Solution

The third proportional to 140,742 and 306,732 is: 668,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,742 : 306,732 = 306,732 : x
  2. Step 2: Convert to fraction form
    140,742/306,732 = 306,732/x
  3. Step 3: Cross multiply
    140,742x = 306,732 × 306,732
  4. Step 4: Simplify right side
    140,742x = 94,084,519,824
  5. Step 5: Solve for x
    x = 94,084,519,824/140,742
  6. Step 6: Final answer
    x = 668,489.29

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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.