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Finding the Third Proportional to 109,142 and 234,232

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Solution

The third proportional to 109,142 and 234,232 is: 502,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,142 : 234,232 = 234,232 : x
  2. Step 2: Convert to fraction form
    109,142/234,232 = 234,232/x
  3. Step 3: Cross multiply
    109,142x = 234,232 × 234,232
  4. Step 4: Simplify right side
    109,142x = 54,864,629,824
  5. Step 5: Solve for x
    x = 54,864,629,824/109,142
  6. Step 6: Final answer
    x = 502,690.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.