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Finding the Third Proportional to 241,847 and 562,152.50

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Solution

The third proportional to 241,847 and 562,152.50 is: 1,306,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,847 : 562,152.50 = 562,152.50 : x
  2. Step 2: Convert to fraction form
    241,847/562,152.50 = 562,152.50/x
  3. Step 3: Cross multiply
    241,847x = 562,152.50 × 562,152.50
  4. Step 4: Simplify right side
    241,847x = 316,015,433,256.25
  5. Step 5: Solve for x
    x = 316,015,433,256.25/241,847
  6. Step 6: Final answer
    x = 1,306,675.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.