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Finding the Third Proportional to 236,864.25 and 342,855

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Solution

The third proportional to 236,864.25 and 342,855 is: 496,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,864.25 : 342,855 = 342,855 : x
  2. Step 2: Convert to fraction form
    236,864.25/342,855 = 342,855/x
  3. Step 3: Cross multiply
    236,864.25x = 342,855 × 342,855
  4. Step 4: Simplify right side
    236,864.25x = 117,549,551,025
  5. Step 5: Solve for x
    x = 117,549,551,025/236,864.25
  6. Step 6: Final answer
    x = 496,273.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.