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Finding the Third Proportional to 210,766 and 374,750

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Solution

The third proportional to 210,766 and 374,750 is: 666,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,766 : 374,750 = 374,750 : x
  2. Step 2: Convert to fraction form
    210,766/374,750 = 374,750/x
  3. Step 3: Cross multiply
    210,766x = 374,750 × 374,750
  4. Step 4: Simplify right side
    210,766x = 140,437,562,500
  5. Step 5: Solve for x
    x = 140,437,562,500/210,766
  6. Step 6: Final answer
    x = 666,319.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.