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Finding the Third Proportional to 140,916.38 and 295,680.38

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Solution

The third proportional to 140,916.38 and 295,680.38 is: 620,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,916.38 : 295,680.38 = 295,680.38 : x
  2. Step 2: Convert to fraction form
    140,916.38/295,680.38 = 295,680.38/x
  3. Step 3: Cross multiply
    140,916.38x = 295,680.38 × 295,680.38
  4. Step 4: Simplify right side
    140,916.38x = 87,426,884,160.14
  5. Step 5: Solve for x
    x = 87,426,884,160.14/140,916.38
  6. Step 6: Final answer
    x = 620,416.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.