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Finding the Third Proportional to 175,020 and 374,824

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Solution

The third proportional to 175,020 and 374,824 is: 802,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,020 : 374,824 = 374,824 : x
  2. Step 2: Convert to fraction form
    175,020/374,824 = 374,824/x
  3. Step 3: Cross multiply
    175,020x = 374,824 × 374,824
  4. Step 4: Simplify right side
    175,020x = 140,493,030,976
  5. Step 5: Solve for x
    x = 140,493,030,976/175,020
  6. Step 6: Final answer
    x = 802,725.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.