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Finding the Third Proportional to 118,614 and 260,556

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Solution

The third proportional to 118,614 and 260,556 is: 572,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,614 : 260,556 = 260,556 : x
  2. Step 2: Convert to fraction form
    118,614/260,556 = 260,556/x
  3. Step 3: Cross multiply
    118,614x = 260,556 × 260,556
  4. Step 4: Simplify right side
    118,614x = 67,889,429,136
  5. Step 5: Solve for x
    x = 67,889,429,136/118,614
  6. Step 6: Final answer
    x = 572,355.95

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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.