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Finding the Third Proportional to 176,446.48 and 273,602.81

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Solution

The third proportional to 176,446.48 and 273,602.81 is: 424,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,446.48 : 273,602.81 = 273,602.81 : x
  2. Step 2: Convert to fraction form
    176,446.48/273,602.81 = 273,602.81/x
  3. Step 3: Cross multiply
    176,446.48x = 273,602.81 × 273,602.81
  4. Step 4: Simplify right side
    176,446.48x = 74,858,499,007.91
  5. Step 5: Solve for x
    x = 74,858,499,007.91/176,446.48
  6. Step 6: Final answer
    x = 424,256.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.