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Finding the Third Proportional to 153,678 and 237,333

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Solution

The third proportional to 153,678 and 237,333 is: 366,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,678 : 237,333 = 237,333 : x
  2. Step 2: Convert to fraction form
    153,678/237,333 = 237,333/x
  3. Step 3: Cross multiply
    153,678x = 237,333 × 237,333
  4. Step 4: Simplify right side
    153,678x = 56,326,952,889
  5. Step 5: Solve for x
    x = 56,326,952,889/153,678
  6. Step 6: Final answer
    x = 366,525.81

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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.