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Finding the Third Proportional to 172,484.50 and 241,702

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Solution

The third proportional to 172,484.50 and 241,702 is: 338,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,484.50 : 241,702 = 241,702 : x
  2. Step 2: Convert to fraction form
    172,484.50/241,702 = 241,702/x
  3. Step 3: Cross multiply
    172,484.50x = 241,702 × 241,702
  4. Step 4: Simplify right side
    172,484.50x = 58,419,856,804
  5. Step 5: Solve for x
    x = 58,419,856,804/172,484.50
  6. Step 6: Final answer
    x = 338,696.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.