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Finding the Third Proportional to 172,080 and 241,894.50

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Solution

The third proportional to 172,080 and 241,894.50 is: 340,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 241,894.50 = 241,894.50 : x
  2. Step 2: Convert to fraction form
    172,080/241,894.50 = 241,894.50/x
  3. Step 3: Cross multiply
    172,080x = 241,894.50 × 241,894.50
  4. Step 4: Simplify right side
    172,080x = 58,512,949,130.25
  5. Step 5: Solve for x
    x = 58,512,949,130.25/172,080
  6. Step 6: Final answer
    x = 340,033.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.