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Finding the Third Proportional to 109,164.38 and 234,275.63

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Solution

The third proportional to 109,164.38 and 234,275.63 is: 502,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,164.38 : 234,275.63 = 234,275.63 : x
  2. Step 2: Convert to fraction form
    109,164.38/234,275.63 = 234,275.63/x
  3. Step 3: Cross multiply
    109,164.38x = 234,275.63 × 234,275.63
  4. Step 4: Simplify right side
    109,164.38x = 54,885,068,469.14
  5. Step 5: Solve for x
    x = 54,885,068,469.14/109,164.38
  6. Step 6: Final answer
    x = 502,774.54

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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.