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Finding the Third Proportional to 145,158 and 219,926

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Solution

The third proportional to 145,158 and 219,926 is: 333,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158 : 219,926 = 219,926 : x
  2. Step 2: Convert to fraction form
    145,158/219,926 = 219,926/x
  3. Step 3: Cross multiply
    145,158x = 219,926 × 219,926
  4. Step 4: Simplify right side
    145,158x = 48,367,445,476
  5. Step 5: Solve for x
    x = 48,367,445,476/145,158
  6. Step 6: Final answer
    x = 333,205.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.