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Finding the Third Proportional to 232,000 and 352,859

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Solution

The third proportional to 232,000 and 352,859 is: 536,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,000 : 352,859 = 352,859 : x
  2. Step 2: Convert to fraction form
    232,000/352,859 = 352,859/x
  3. Step 3: Cross multiply
    232,000x = 352,859 × 352,859
  4. Step 4: Simplify right side
    232,000x = 124,509,473,881
  5. Step 5: Solve for x
    x = 124,509,473,881/232,000
  6. Step 6: Final answer
    x = 536,678.77

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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.