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Finding the Third Proportional to 120,700.13 and 265,573.69

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Solution

The third proportional to 120,700.13 and 265,573.69 is: 584,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,700.13 : 265,573.69 = 265,573.69 : x
  2. Step 2: Convert to fraction form
    120,700.13/265,573.69 = 265,573.69/x
  3. Step 3: Cross multiply
    120,700.13x = 265,573.69 × 265,573.69
  4. Step 4: Simplify right side
    120,700.13x = 70,529,383,492.35
  5. Step 5: Solve for x
    x = 70,529,383,492.35/120,700.13
  6. Step 6: Final answer
    x = 584,335.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.