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Finding the Third Proportional to 174,980.25 and 374,745

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Solution

The third proportional to 174,980.25 and 374,745 is: 802,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,980.25 : 374,745 = 374,745 : x
  2. Step 2: Convert to fraction form
    174,980.25/374,745 = 374,745/x
  3. Step 3: Cross multiply
    174,980.25x = 374,745 × 374,745
  4. Step 4: Simplify right side
    174,980.25x = 140,433,815,025
  5. Step 5: Solve for x
    x = 140,433,815,025/174,980.25
  6. Step 6: Final answer
    x = 802,569.52

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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.