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Finding the Third Proportional to 120,735 and 265,374

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Solution

The third proportional to 120,735 and 265,374 is: 583,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,735 : 265,374 = 265,374 : x
  2. Step 2: Convert to fraction form
    120,735/265,374 = 265,374/x
  3. Step 3: Cross multiply
    120,735x = 265,374 × 265,374
  4. Step 4: Simplify right side
    120,735x = 70,423,359,876
  5. Step 5: Solve for x
    x = 70,423,359,876/120,735
  6. Step 6: Final answer
    x = 583,288.69

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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.