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Finding the Third Proportional to 241,401 and 354,712.50

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Solution

The third proportional to 241,401 and 354,712.50 is: 521,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,401 : 354,712.50 = 354,712.50 : x
  2. Step 2: Convert to fraction form
    241,401/354,712.50 = 354,712.50/x
  3. Step 3: Cross multiply
    241,401x = 354,712.50 × 354,712.50
  4. Step 4: Simplify right side
    241,401x = 125,820,957,656.25
  5. Step 5: Solve for x
    x = 125,820,957,656.25/241,401
  6. Step 6: Final answer
    x = 521,211.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.