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Finding the Third Proportional to 147,512 and 227,037

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Solution

The third proportional to 147,512 and 227,037 is: 349,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,512 : 227,037 = 227,037 : x
  2. Step 2: Convert to fraction form
    147,512/227,037 = 227,037/x
  3. Step 3: Cross multiply
    147,512x = 227,037 × 227,037
  4. Step 4: Simplify right side
    147,512x = 51,545,799,369
  5. Step 5: Solve for x
    x = 51,545,799,369/147,512
  6. Step 6: Final answer
    x = 349,434.62

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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.