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Finding the Third Proportional to 186,436 and 295,350

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Solution

The third proportional to 186,436 and 295,350 is: 467,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,436 : 295,350 = 295,350 : x
  2. Step 2: Convert to fraction form
    186,436/295,350 = 295,350/x
  3. Step 3: Cross multiply
    186,436x = 295,350 × 295,350
  4. Step 4: Simplify right side
    186,436x = 87,231,622,500
  5. Step 5: Solve for x
    x = 87,231,622,500/186,436
  6. Step 6: Final answer
    x = 467,890.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.