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Finding the Third Proportional to 153,540 and 361,926

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Solution

The third proportional to 153,540 and 361,926 is: 853,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,540 : 361,926 = 361,926 : x
  2. Step 2: Convert to fraction form
    153,540/361,926 = 361,926/x
  3. Step 3: Cross multiply
    153,540x = 361,926 × 361,926
  4. Step 4: Simplify right side
    153,540x = 130,990,429,476
  5. Step 5: Solve for x
    x = 130,990,429,476/153,540
  6. Step 6: Final answer
    x = 853,135.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.