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Finding the Third Proportional to 233,138.25 and 342,056.25

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Solution

The third proportional to 233,138.25 and 342,056.25 is: 501,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,138.25 : 342,056.25 = 342,056.25 : x
  2. Step 2: Convert to fraction form
    233,138.25/342,056.25 = 342,056.25/x
  3. Step 3: Cross multiply
    233,138.25x = 342,056.25 × 342,056.25
  4. Step 4: Simplify right side
    233,138.25x = 117,002,478,164.06
  5. Step 5: Solve for x
    x = 117,002,478,164.06/233,138.25
  6. Step 6: Final answer
    x = 501,858.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.