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Finding the Third Proportional to 120,052 and 260,453

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Solution

The third proportional to 120,052 and 260,453 is: 565,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,052 : 260,453 = 260,453 : x
  2. Step 2: Convert to fraction form
    120,052/260,453 = 260,453/x
  3. Step 3: Cross multiply
    120,052x = 260,453 × 260,453
  4. Step 4: Simplify right side
    120,052x = 67,835,765,209
  5. Step 5: Solve for x
    x = 67,835,765,209/120,052
  6. Step 6: Final answer
    x = 565,053.19

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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.