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Finding the Third Proportional to 181,322 and 299,658

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Solution

The third proportional to 181,322 and 299,658 is: 495,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,322 : 299,658 = 299,658 : x
  2. Step 2: Convert to fraction form
    181,322/299,658 = 299,658/x
  3. Step 3: Cross multiply
    181,322x = 299,658 × 299,658
  4. Step 4: Simplify right side
    181,322x = 89,794,916,964
  5. Step 5: Solve for x
    x = 89,794,916,964/181,322
  6. Step 6: Final answer
    x = 495,223.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.