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Finding the Third Proportional to 154,279.50 and 233,062.50

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Solution

The third proportional to 154,279.50 and 233,062.50 is: 352,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,279.50 : 233,062.50 = 233,062.50 : x
  2. Step 2: Convert to fraction form
    154,279.50/233,062.50 = 233,062.50/x
  3. Step 3: Cross multiply
    154,279.50x = 233,062.50 × 233,062.50
  4. Step 4: Simplify right side
    154,279.50x = 54,318,128,906.25
  5. Step 5: Solve for x
    x = 54,318,128,906.25/154,279.50
  6. Step 6: Final answer
    x = 352,076.13

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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.