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Finding the Third Proportional to 154,240 and 233,305

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Solution

The third proportional to 154,240 and 233,305 is: 352,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,240 : 233,305 = 233,305 : x
  2. Step 2: Convert to fraction form
    154,240/233,305 = 233,305/x
  3. Step 3: Cross multiply
    154,240x = 233,305 × 233,305
  4. Step 4: Simplify right side
    154,240x = 54,431,223,025
  5. Step 5: Solve for x
    x = 54,431,223,025/154,240
  6. Step 6: Final answer
    x = 352,899.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.