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Finding the Third Proportional to 183,730 and 331,196

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Solution

The third proportional to 183,730 and 331,196 is: 597,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,730 : 331,196 = 331,196 : x
  2. Step 2: Convert to fraction form
    183,730/331,196 = 331,196/x
  3. Step 3: Cross multiply
    183,730x = 331,196 × 331,196
  4. Step 4: Simplify right side
    183,730x = 109,690,790,416
  5. Step 5: Solve for x
    x = 109,690,790,416/183,730
  6. Step 6: Final answer
    x = 597,021.66

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.