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Finding the Third Proportional to 140,224 and 304,232

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Solution

The third proportional to 140,224 and 304,232 is: 660,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,224 : 304,232 = 304,232 : x
  2. Step 2: Convert to fraction form
    140,224/304,232 = 304,232/x
  3. Step 3: Cross multiply
    140,224x = 304,232 × 304,232
  4. Step 4: Simplify right side
    140,224x = 92,557,109,824
  5. Step 5: Solve for x
    x = 92,557,109,824/140,224
  6. Step 6: Final answer
    x = 660,066.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.