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Finding the Third Proportional to 174,987 and 374,758

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Solution

The third proportional to 174,987 and 374,758 is: 802,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,987 : 374,758 = 374,758 : x
  2. Step 2: Convert to fraction form
    174,987/374,758 = 374,758/x
  3. Step 3: Cross multiply
    174,987x = 374,758 × 374,758
  4. Step 4: Simplify right side
    174,987x = 140,443,558,564
  5. Step 5: Solve for x
    x = 140,443,558,564/174,987
  6. Step 6: Final answer
    x = 802,594.24

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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.