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Finding the Third Proportional to 150,427.13 and 232,161.19

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Solution

The third proportional to 150,427.13 and 232,161.19 is: 358,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,427.13 : 232,161.19 = 232,161.19 : x
  2. Step 2: Convert to fraction form
    150,427.13/232,161.19 = 232,161.19/x
  3. Step 3: Cross multiply
    150,427.13x = 232,161.19 × 232,161.19
  4. Step 4: Simplify right side
    150,427.13x = 53,898,816,981.41
  5. Step 5: Solve for x
    x = 53,898,816,981.41/150,427.13
  6. Step 6: Final answer
    x = 358,305.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.