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Finding the Third Proportional to 109,650 and 234,276

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Solution

The third proportional to 109,650 and 234,276 is: 500,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650 : 234,276 = 234,276 : x
  2. Step 2: Convert to fraction form
    109,650/234,276 = 234,276/x
  3. Step 3: Cross multiply
    109,650x = 234,276 × 234,276
  4. Step 4: Simplify right side
    109,650x = 54,885,244,176
  5. Step 5: Solve for x
    x = 54,885,244,176/109,650
  6. Step 6: Final answer
    x = 500,549.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.