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Finding the Third Proportional to 122,029.50 and 264,587.25

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Solution

The third proportional to 122,029.50 and 264,587.25 is: 573,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,029.50 : 264,587.25 = 264,587.25 : x
  2. Step 2: Convert to fraction form
    122,029.50/264,587.25 = 264,587.25/x
  3. Step 3: Cross multiply
    122,029.50x = 264,587.25 × 264,587.25
  4. Step 4: Simplify right side
    122,029.50x = 70,006,412,862.56
  5. Step 5: Solve for x
    x = 70,006,412,862.56/122,029.50
  6. Step 6: Final answer
    x = 573,684.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.