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Finding the Third Proportional to 261,131 and 352,329

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Solution

The third proportional to 261,131 and 352,329 is: 475,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,131 : 352,329 = 352,329 : x
  2. Step 2: Convert to fraction form
    261,131/352,329 = 352,329/x
  3. Step 3: Cross multiply
    261,131x = 352,329 × 352,329
  4. Step 4: Simplify right side
    261,131x = 124,135,724,241
  5. Step 5: Solve for x
    x = 124,135,724,241/261,131
  6. Step 6: Final answer
    x = 475,377.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.