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Finding the Third Proportional to 258,922.50 and 349,823.25

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Solution

The third proportional to 258,922.50 and 349,823.25 is: 472,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,922.50 : 349,823.25 = 349,823.25 : x
  2. Step 2: Convert to fraction form
    258,922.50/349,823.25 = 349,823.25/x
  3. Step 3: Cross multiply
    258,922.50x = 349,823.25 × 349,823.25
  4. Step 4: Simplify right side
    258,922.50x = 122,376,306,240.56
  5. Step 5: Solve for x
    x = 122,376,306,240.56/258,922.50
  6. Step 6: Final answer
    x = 472,636.82

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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.