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Finding the Third Proportional to 191,964 and 298,818

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Solution

The third proportional to 191,964 and 298,818 is: 465,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,964 : 298,818 = 298,818 : x
  2. Step 2: Convert to fraction form
    191,964/298,818 = 298,818/x
  3. Step 3: Cross multiply
    191,964x = 298,818 × 298,818
  4. Step 4: Simplify right side
    191,964x = 89,292,197,124
  5. Step 5: Solve for x
    x = 89,292,197,124/191,964
  6. Step 6: Final answer
    x = 465,150.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.