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Finding the Third Proportional to 241,851 and 562,161

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Solution

The third proportional to 241,851 and 562,161 is: 1,306,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,851 : 562,161 = 562,161 : x
  2. Step 2: Convert to fraction form
    241,851/562,161 = 562,161/x
  3. Step 3: Cross multiply
    241,851x = 562,161 × 562,161
  4. Step 4: Simplify right side
    241,851x = 316,024,989,921
  5. Step 5: Solve for x
    x = 316,024,989,921/241,851
  6. Step 6: Final answer
    x = 1,306,692.92

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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.