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Finding the Third Proportional to 154,009 and 230,386.75

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Solution

The third proportional to 154,009 and 230,386.75 is: 344,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,009 : 230,386.75 = 230,386.75 : x
  2. Step 2: Convert to fraction form
    154,009/230,386.75 = 230,386.75/x
  3. Step 3: Cross multiply
    154,009x = 230,386.75 × 230,386.75
  4. Step 4: Simplify right side
    154,009x = 53,078,054,575.56
  5. Step 5: Solve for x
    x = 53,078,054,575.56/154,009
  6. Step 6: Final answer
    x = 344,642.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.