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Finding the Third Proportional to 149,842 and 210,778

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Solution

The third proportional to 149,842 and 210,778 is: 296,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,842 : 210,778 = 210,778 : x
  2. Step 2: Convert to fraction form
    149,842/210,778 = 210,778/x
  3. Step 3: Cross multiply
    149,842x = 210,778 × 210,778
  4. Step 4: Simplify right side
    149,842x = 44,427,365,284
  5. Step 5: Solve for x
    x = 44,427,365,284/149,842
  6. Step 6: Final answer
    x = 296,494.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.