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Finding the Third Proportional to 151,430.25 and 233,463.38

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Solution

The third proportional to 151,430.25 and 233,463.38 is: 359,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,430.25 : 233,463.38 = 233,463.38 : x
  2. Step 2: Convert to fraction form
    151,430.25/233,463.38 = 233,463.38/x
  3. Step 3: Cross multiply
    151,430.25x = 233,463.38 × 233,463.38
  4. Step 4: Simplify right side
    151,430.25x = 54,505,147,466.39
  5. Step 5: Solve for x
    x = 54,505,147,466.39/151,430.25
  6. Step 6: Final answer
    x = 359,935.66

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Why These Related Problems?

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