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Finding the Third Proportional to 154,068 and 333,408

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Solution

The third proportional to 154,068 and 333,408 is: 721,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,068 : 333,408 = 333,408 : x
  2. Step 2: Convert to fraction form
    154,068/333,408 = 333,408/x
  3. Step 3: Cross multiply
    154,068x = 333,408 × 333,408
  4. Step 4: Simplify right side
    154,068x = 111,160,894,464
  5. Step 5: Solve for x
    x = 111,160,894,464/154,068
  6. Step 6: Final answer
    x = 721,505.40

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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.