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Finding the Third Proportional to 120,474 and 254,511

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Solution

The third proportional to 120,474 and 254,511 is: 537,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,474 : 254,511 = 254,511 : x
  2. Step 2: Convert to fraction form
    120,474/254,511 = 254,511/x
  3. Step 3: Cross multiply
    120,474x = 254,511 × 254,511
  4. Step 4: Simplify right side
    120,474x = 64,775,849,121
  5. Step 5: Solve for x
    x = 64,775,849,121/120,474
  6. Step 6: Final answer
    x = 537,674.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.