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Finding the Third Proportional to 154,126 and 333,068

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Solution

The third proportional to 154,126 and 333,068 is: 719,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,126 : 333,068 = 333,068 : x
  2. Step 2: Convert to fraction form
    154,126/333,068 = 333,068/x
  3. Step 3: Cross multiply
    154,126x = 333,068 × 333,068
  4. Step 4: Simplify right side
    154,126x = 110,934,292,624
  5. Step 5: Solve for x
    x = 110,934,292,624/154,126
  6. Step 6: Final answer
    x = 719,763.65

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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.