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Finding the Third Proportional to 128,225.25 and 233,304.75

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Solution

The third proportional to 128,225.25 and 233,304.75 is: 424,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,225.25 : 233,304.75 = 233,304.75 : x
  2. Step 2: Convert to fraction form
    128,225.25/233,304.75 = 233,304.75/x
  3. Step 3: Cross multiply
    128,225.25x = 233,304.75 × 233,304.75
  4. Step 4: Simplify right side
    128,225.25x = 54,431,106,372.56
  5. Step 5: Solve for x
    x = 54,431,106,372.56/128,225.25
  6. Step 6: Final answer
    x = 424,496.01

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.