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Finding the Third Proportional to 156,271 and 241,823

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Solution

The third proportional to 156,271 and 241,823 is: 374,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,271 : 241,823 = 241,823 : x
  2. Step 2: Convert to fraction form
    156,271/241,823 = 241,823/x
  3. Step 3: Cross multiply
    156,271x = 241,823 × 241,823
  4. Step 4: Simplify right side
    156,271x = 58,478,363,329
  5. Step 5: Solve for x
    x = 58,478,363,329/156,271
  6. Step 6: Final answer
    x = 374,211.23

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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.