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Finding the Third Proportional to 174,284 and 260,706

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Solution

The third proportional to 174,284 and 260,706 is: 389,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,284 : 260,706 = 260,706 : x
  2. Step 2: Convert to fraction form
    174,284/260,706 = 260,706/x
  3. Step 3: Cross multiply
    174,284x = 260,706 × 260,706
  4. Step 4: Simplify right side
    174,284x = 67,967,618,436
  5. Step 5: Solve for x
    x = 67,967,618,436/174,284
  6. Step 6: Final answer
    x = 389,981.97

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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.