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Finding the Third Proportional to 148,436.25 and 323,514

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Solution

The third proportional to 148,436.25 and 323,514 is: 705,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,436.25 : 323,514 = 323,514 : x
  2. Step 2: Convert to fraction form
    148,436.25/323,514 = 323,514/x
  3. Step 3: Cross multiply
    148,436.25x = 323,514 × 323,514
  4. Step 4: Simplify right side
    148,436.25x = 104,661,308,196
  5. Step 5: Solve for x
    x = 104,661,308,196/148,436.25
  6. Step 6: Final answer
    x = 705,092.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.