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Finding the Third Proportional to 152,190 and 236,573

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Solution

The third proportional to 152,190 and 236,573 is: 367,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,190 : 236,573 = 236,573 : x
  2. Step 2: Convert to fraction form
    152,190/236,573 = 236,573/x
  3. Step 3: Cross multiply
    152,190x = 236,573 × 236,573
  4. Step 4: Simplify right side
    152,190x = 55,966,784,329
  5. Step 5: Solve for x
    x = 55,966,784,329/152,190
  6. Step 6: Final answer
    x = 367,742.85

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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.