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Finding the Third Proportional to 152,430.38 and 226,434.75

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Solution

The third proportional to 152,430.38 and 226,434.75 is: 336,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,430.38 : 226,434.75 = 226,434.75 : x
  2. Step 2: Convert to fraction form
    152,430.38/226,434.75 = 226,434.75/x
  3. Step 3: Cross multiply
    152,430.38x = 226,434.75 × 226,434.75
  4. Step 4: Simplify right side
    152,430.38x = 51,272,696,007.56
  5. Step 5: Solve for x
    x = 51,272,696,007.56/152,430.38
  6. Step 6: Final answer
    x = 336,367.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.