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Finding the Third Proportional to 174,752 and 374,408

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Solution

The third proportional to 174,752 and 374,408 is: 802,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,752 : 374,408 = 374,408 : x
  2. Step 2: Convert to fraction form
    174,752/374,408 = 374,408/x
  3. Step 3: Cross multiply
    174,752x = 374,408 × 374,408
  4. Step 4: Simplify right side
    174,752x = 140,181,350,464
  5. Step 5: Solve for x
    x = 140,181,350,464/174,752
  6. Step 6: Final answer
    x = 802,173.08

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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.