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Finding the Third Proportional to 186,080 and 273,072

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Solution

The third proportional to 186,080 and 273,072 is: 400,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,080 : 273,072 = 273,072 : x
  2. Step 2: Convert to fraction form
    186,080/273,072 = 273,072/x
  3. Step 3: Cross multiply
    186,080x = 273,072 × 273,072
  4. Step 4: Simplify right side
    186,080x = 74,568,317,184
  5. Step 5: Solve for x
    x = 74,568,317,184/186,080
  6. Step 6: Final answer
    x = 400,732.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.