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Finding the Third Proportional to 153,682 and 237,338

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Solution

The third proportional to 153,682 and 237,338 is: 366,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,682 : 237,338 = 237,338 : x
  2. Step 2: Convert to fraction form
    153,682/237,338 = 237,338/x
  3. Step 3: Cross multiply
    153,682x = 237,338 × 237,338
  4. Step 4: Simplify right side
    153,682x = 56,329,326,244
  5. Step 5: Solve for x
    x = 56,329,326,244/153,682
  6. Step 6: Final answer
    x = 366,531.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.