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Finding the Third Proportional to 178,114 and 374,671

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Solution

The third proportional to 178,114 and 374,671 is: 788,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,114 : 374,671 = 374,671 : x
  2. Step 2: Convert to fraction form
    178,114/374,671 = 374,671/x
  3. Step 3: Cross multiply
    178,114x = 374,671 × 374,671
  4. Step 4: Simplify right side
    178,114x = 140,378,358,241
  5. Step 5: Solve for x
    x = 140,378,358,241/178,114
  6. Step 6: Final answer
    x = 788,137.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.