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Finding the Third Proportional to 136,555 and 298,124

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Solution

The third proportional to 136,555 and 298,124 is: 650,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,555 : 298,124 = 298,124 : x
  2. Step 2: Convert to fraction form
    136,555/298,124 = 298,124/x
  3. Step 3: Cross multiply
    136,555x = 298,124 × 298,124
  4. Step 4: Simplify right side
    136,555x = 88,877,919,376
  5. Step 5: Solve for x
    x = 88,877,919,376/136,555
  6. Step 6: Final answer
    x = 650,858.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.