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Finding the Third Proportional to 130,916.25 and 200,180.74

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Solution

The third proportional to 130,916.25 and 200,180.74 is: 306,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,916.25 : 200,180.74 = 200,180.74 : x
  2. Step 2: Convert to fraction form
    130,916.25/200,180.74 = 200,180.74/x
  3. Step 3: Cross multiply
    130,916.25x = 200,180.74 × 200,180.74
  4. Step 4: Simplify right side
    130,916.25x = 40,072,329,542.74
  5. Step 5: Solve for x
    x = 40,072,329,542.74/130,916.25
  6. Step 6: Final answer
    x = 306,091.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.