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Finding the Third Proportional to 100,658.25 and 232,830

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Solution

The third proportional to 100,658.25 and 232,830 is: 538,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,658.25 : 232,830 = 232,830 : x
  2. Step 2: Convert to fraction form
    100,658.25/232,830 = 232,830/x
  3. Step 3: Cross multiply
    100,658.25x = 232,830 × 232,830
  4. Step 4: Simplify right side
    100,658.25x = 54,209,808,900
  5. Step 5: Solve for x
    x = 54,209,808,900/100,658.25
  6. Step 6: Final answer
    x = 538,553.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.