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Finding the Third Proportional to 154,062 and 232,186.50

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Solution

The third proportional to 154,062 and 232,186.50 is: 349,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,062 : 232,186.50 = 232,186.50 : x
  2. Step 2: Convert to fraction form
    154,062/232,186.50 = 232,186.50/x
  3. Step 3: Cross multiply
    154,062x = 232,186.50 × 232,186.50
  4. Step 4: Simplify right side
    154,062x = 53,910,570,782.25
  5. Step 5: Solve for x
    x = 53,910,570,782.25/154,062
  6. Step 6: Final answer
    x = 349,927.76

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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.