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Finding the Third Proportional to 118,601 and 260,529

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Solution

The third proportional to 118,601 and 260,529 is: 572,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,601 : 260,529 = 260,529 : x
  2. Step 2: Convert to fraction form
    118,601/260,529 = 260,529/x
  3. Step 3: Cross multiply
    118,601x = 260,529 × 260,529
  4. Step 4: Simplify right side
    118,601x = 67,875,359,841
  5. Step 5: Solve for x
    x = 67,875,359,841/118,601
  6. Step 6: Final answer
    x = 572,300.06

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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.