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Finding the Third Proportional to 172,080 and 265,824

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Solution

The third proportional to 172,080 and 265,824 is: 410,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 265,824 = 265,824 : x
  2. Step 2: Convert to fraction form
    172,080/265,824 = 265,824/x
  3. Step 3: Cross multiply
    172,080x = 265,824 × 265,824
  4. Step 4: Simplify right side
    172,080x = 70,662,398,976
  5. Step 5: Solve for x
    x = 70,662,398,976/172,080
  6. Step 6: Final answer
    x = 410,636.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.