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Finding the Third Proportional to 152,376.75 and 236,268

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Solution

The third proportional to 152,376.75 and 236,268 is: 366,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,376.75 : 236,268 = 236,268 : x
  2. Step 2: Convert to fraction form
    152,376.75/236,268 = 236,268/x
  3. Step 3: Cross multiply
    152,376.75x = 236,268 × 236,268
  4. Step 4: Simplify right side
    152,376.75x = 55,822,567,824
  5. Step 5: Solve for x
    x = 55,822,567,824/152,376.75
  6. Step 6: Final answer
    x = 366,345.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.