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Finding the Third Proportional to 122,481 and 262,457

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Solution

The third proportional to 122,481 and 262,457 is: 562,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,481 : 262,457 = 262,457 : x
  2. Step 2: Convert to fraction form
    122,481/262,457 = 262,457/x
  3. Step 3: Cross multiply
    122,481x = 262,457 × 262,457
  4. Step 4: Simplify right side
    122,481x = 68,883,676,849
  5. Step 5: Solve for x
    x = 68,883,676,849/122,481
  6. Step 6: Final answer
    x = 562,402.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.