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Finding the Third Proportional to 174,154 and 260,556

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Solution

The third proportional to 174,154 and 260,556 is: 389,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,154 : 260,556 = 260,556 : x
  2. Step 2: Convert to fraction form
    174,154/260,556 = 260,556/x
  3. Step 3: Cross multiply
    174,154x = 260,556 × 260,556
  4. Step 4: Simplify right side
    174,154x = 67,889,429,136
  5. Step 5: Solve for x
    x = 67,889,429,136/174,154
  6. Step 6: Final answer
    x = 389,824.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.