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Finding the Third Proportional to 183,772 and 296,059

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Solution

The third proportional to 183,772 and 296,059 is: 476,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,772 : 296,059 = 296,059 : x
  2. Step 2: Convert to fraction form
    183,772/296,059 = 296,059/x
  3. Step 3: Cross multiply
    183,772x = 296,059 × 296,059
  4. Step 4: Simplify right side
    183,772x = 87,650,931,481
  5. Step 5: Solve for x
    x = 87,650,931,481/183,772
  6. Step 6: Final answer
    x = 476,954.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.