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Finding the Third Proportional to 118,526 and 260,233

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Solution

The third proportional to 118,526 and 260,233 is: 571,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,526 : 260,233 = 260,233 : x
  2. Step 2: Convert to fraction form
    118,526/260,233 = 260,233/x
  3. Step 3: Cross multiply
    118,526x = 260,233 × 260,233
  4. Step 4: Simplify right side
    118,526x = 67,721,214,289
  5. Step 5: Solve for x
    x = 67,721,214,289/118,526
  6. Step 6: Final answer
    x = 571,361.68

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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.