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Finding the Third Proportional to 156,106 and 241,578

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Solution

The third proportional to 156,106 and 241,578 is: 373,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,106 : 241,578 = 241,578 : x
  2. Step 2: Convert to fraction form
    156,106/241,578 = 241,578/x
  3. Step 3: Cross multiply
    156,106x = 241,578 × 241,578
  4. Step 4: Simplify right side
    156,106x = 58,359,930,084
  5. Step 5: Solve for x
    x = 58,359,930,084/156,106
  6. Step 6: Final answer
    x = 373,848.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.