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Finding the Third Proportional to 154,660 and 235,230

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Solution

The third proportional to 154,660 and 235,230 is: 357,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,660 : 235,230 = 235,230 : x
  2. Step 2: Convert to fraction form
    154,660/235,230 = 235,230/x
  3. Step 3: Cross multiply
    154,660x = 235,230 × 235,230
  4. Step 4: Simplify right side
    154,660x = 55,333,152,900
  5. Step 5: Solve for x
    x = 55,333,152,900/154,660
  6. Step 6: Final answer
    x = 357,772.88

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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.