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Finding the Third Proportional to 122,569.50 and 250,323

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Solution

The third proportional to 122,569.50 and 250,323 is: 511,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,569.50 : 250,323 = 250,323 : x
  2. Step 2: Convert to fraction form
    122,569.50/250,323 = 250,323/x
  3. Step 3: Cross multiply
    122,569.50x = 250,323 × 250,323
  4. Step 4: Simplify right side
    122,569.50x = 62,661,604,329
  5. Step 5: Solve for x
    x = 62,661,604,329/122,569.50
  6. Step 6: Final answer
    x = 511,233.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.