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Finding the Third Proportional to 164,612 and 241,068

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Solution

The third proportional to 164,612 and 241,068 is: 353,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,612 : 241,068 = 241,068 : x
  2. Step 2: Convert to fraction form
    164,612/241,068 = 241,068/x
  3. Step 3: Cross multiply
    164,612x = 241,068 × 241,068
  4. Step 4: Simplify right side
    164,612x = 58,113,780,624
  5. Step 5: Solve for x
    x = 58,113,780,624/164,612
  6. Step 6: Final answer
    x = 353,034.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.