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Finding the Third Proportional to 131,310 and 209,037

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Solution

The third proportional to 131,310 and 209,037 is: 332,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,310 : 209,037 = 209,037 : x
  2. Step 2: Convert to fraction form
    131,310/209,037 = 209,037/x
  3. Step 3: Cross multiply
    131,310x = 209,037 × 209,037
  4. Step 4: Simplify right side
    131,310x = 43,696,467,369
  5. Step 5: Solve for x
    x = 43,696,467,369/131,310
  6. Step 6: Final answer
    x = 332,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.