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Finding the Third Proportional to 178,472.11 and 273,359.81

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Solution

The third proportional to 178,472.11 and 273,359.81 is: 418,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,472.11 : 273,359.81 = 273,359.81 : x
  2. Step 2: Convert to fraction form
    178,472.11/273,359.81 = 273,359.81/x
  3. Step 3: Cross multiply
    178,472.11x = 273,359.81 × 273,359.81
  4. Step 4: Simplify right side
    178,472.11x = 74,725,587,090.04
  5. Step 5: Solve for x
    x = 74,725,587,090.04/178,472.11
  6. Step 6: Final answer
    x = 418,696.16

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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.