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Finding the Third Proportional to 154,326 and 237,540

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Solution

The third proportional to 154,326 and 237,540 is: 365,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,326 : 237,540 = 237,540 : x
  2. Step 2: Convert to fraction form
    154,326/237,540 = 237,540/x
  3. Step 3: Cross multiply
    154,326x = 237,540 × 237,540
  4. Step 4: Simplify right side
    154,326x = 56,425,251,600
  5. Step 5: Solve for x
    x = 56,425,251,600/154,326
  6. Step 6: Final answer
    x = 365,623.75

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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.