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Finding the Third Proportional to 76,460.25 and 179,895.75

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Solution

The third proportional to 76,460.25 and 179,895.75 is: 423,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,460.25 : 179,895.75 = 179,895.75 : x
  2. Step 2: Convert to fraction form
    76,460.25/179,895.75 = 179,895.75/x
  3. Step 3: Cross multiply
    76,460.25x = 179,895.75 × 179,895.75
  4. Step 4: Simplify right side
    76,460.25x = 32,362,480,868.06
  5. Step 5: Solve for x
    x = 32,362,480,868.06/76,460.25
  6. Step 6: Final answer
    x = 423,258.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.