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Finding the Third Proportional to 151,642.13 and 232,292.81

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Solution

The third proportional to 151,642.13 and 232,292.81 is: 355,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,642.13 : 232,292.81 = 232,292.81 : x
  2. Step 2: Convert to fraction form
    151,642.13/232,292.81 = 232,292.81/x
  3. Step 3: Cross multiply
    151,642.13x = 232,292.81 × 232,292.81
  4. Step 4: Simplify right side
    151,642.13x = 53,959,950,739.16
  5. Step 5: Solve for x
    x = 53,959,950,739.16/151,642.13
  6. Step 6: Final answer
    x = 355,837.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.