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Finding the Third Proportional to 154,732 and 235,259

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Solution

The third proportional to 154,732 and 235,259 is: 357,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,732 : 235,259 = 235,259 : x
  2. Step 2: Convert to fraction form
    154,732/235,259 = 235,259/x
  3. Step 3: Cross multiply
    154,732x = 235,259 × 235,259
  4. Step 4: Simplify right side
    154,732x = 55,346,797,081
  5. Step 5: Solve for x
    x = 55,346,797,081/154,732
  6. Step 6: Final answer
    x = 357,694.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.