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Finding the Third Proportional to 154,076 and 333,422

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Solution

The third proportional to 154,076 and 333,422 is: 721,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,076 : 333,422 = 333,422 : x
  2. Step 2: Convert to fraction form
    154,076/333,422 = 333,422/x
  3. Step 3: Cross multiply
    154,076x = 333,422 × 333,422
  4. Step 4: Simplify right side
    154,076x = 111,170,230,084
  5. Step 5: Solve for x
    x = 111,170,230,084/154,076
  6. Step 6: Final answer
    x = 721,528.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.