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Finding the Third Proportional to 152,478 and 237,021

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Solution

The third proportional to 152,478 and 237,021 is: 368,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,478 : 237,021 = 237,021 : x
  2. Step 2: Convert to fraction form
    152,478/237,021 = 237,021/x
  3. Step 3: Cross multiply
    152,478x = 237,021 × 237,021
  4. Step 4: Simplify right side
    152,478x = 56,178,954,441
  5. Step 5: Solve for x
    x = 56,178,954,441/152,478
  6. Step 6: Final answer
    x = 368,439.74

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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.