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Finding the Third Proportional to 120,511 and 254,566

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Solution

The third proportional to 120,511 and 254,566 is: 537,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,511 : 254,566 = 254,566 : x
  2. Step 2: Convert to fraction form
    120,511/254,566 = 254,566/x
  3. Step 3: Cross multiply
    120,511x = 254,566 × 254,566
  4. Step 4: Simplify right side
    120,511x = 64,803,848,356
  5. Step 5: Solve for x
    x = 64,803,848,356/120,511
  6. Step 6: Final answer
    x = 537,742.18

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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.