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Finding the Third Proportional to 122,523 and 257,511

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Solution

The third proportional to 122,523 and 257,511 is: 541,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523 : 257,511 = 257,511 : x
  2. Step 2: Convert to fraction form
    122,523/257,511 = 257,511/x
  3. Step 3: Cross multiply
    122,523x = 257,511 × 257,511
  4. Step 4: Simplify right side
    122,523x = 66,311,915,121
  5. Step 5: Solve for x
    x = 66,311,915,121/122,523
  6. Step 6: Final answer
    x = 541,220.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.