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Finding the Third Proportional to 173,472.75 and 272,189.81

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Solution

The third proportional to 173,472.75 and 272,189.81 is: 427,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,472.75 : 272,189.81 = 272,189.81 : x
  2. Step 2: Convert to fraction form
    173,472.75/272,189.81 = 272,189.81/x
  3. Step 3: Cross multiply
    173,472.75x = 272,189.81 × 272,189.81
  4. Step 4: Simplify right side
    173,472.75x = 74,087,294,028.79
  5. Step 5: Solve for x
    x = 74,087,294,028.79/173,472.75
  6. Step 6: Final answer
    x = 427,083.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.