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Finding the Third Proportional to 153,469 and 232,573

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Solution

The third proportional to 153,469 and 232,573 is: 352,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,469 : 232,573 = 232,573 : x
  2. Step 2: Convert to fraction form
    153,469/232,573 = 232,573/x
  3. Step 3: Cross multiply
    153,469x = 232,573 × 232,573
  4. Step 4: Simplify right side
    153,469x = 54,090,200,329
  5. Step 5: Solve for x
    x = 54,090,200,329/153,469
  6. Step 6: Final answer
    x = 352,450.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.