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Finding the Third Proportional to 236,841.75 and 509,148.13

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Solution

The third proportional to 236,841.75 and 509,148.13 is: 1,094,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,841.75 : 509,148.13 = 509,148.13 : x
  2. Step 2: Convert to fraction form
    236,841.75/509,148.13 = 509,148.13/x
  3. Step 3: Cross multiply
    236,841.75x = 509,148.13 × 509,148.13
  4. Step 4: Simplify right side
    236,841.75x = 259,231,813,191.02
  5. Step 5: Solve for x
    x = 259,231,813,191.02/236,841.75
  6. Step 6: Final answer
    x = 1,094,535.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.