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Finding the Third Proportional to 147,540 and 226,926

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Solution

The third proportional to 147,540 and 226,926 is: 349,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,540 : 226,926 = 226,926 : x
  2. Step 2: Convert to fraction form
    147,540/226,926 = 226,926/x
  3. Step 3: Cross multiply
    147,540x = 226,926 × 226,926
  4. Step 4: Simplify right side
    147,540x = 51,495,409,476
  5. Step 5: Solve for x
    x = 51,495,409,476/147,540
  6. Step 6: Final answer
    x = 349,026.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.