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Finding the Third Proportional to 120,266 and 261,026.50

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Solution

The third proportional to 120,266 and 261,026.50 is: 566,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,266 : 261,026.50 = 261,026.50 : x
  2. Step 2: Convert to fraction form
    120,266/261,026.50 = 261,026.50/x
  3. Step 3: Cross multiply
    120,266x = 261,026.50 × 261,026.50
  4. Step 4: Simplify right side
    120,266x = 68,134,833,702.25
  5. Step 5: Solve for x
    x = 68,134,833,702.25/120,266
  6. Step 6: Final answer
    x = 566,534.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.