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Finding the Third Proportional to 174,284 and 260,732

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Solution

The third proportional to 174,284 and 260,732 is: 390,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,284 : 260,732 = 260,732 : x
  2. Step 2: Convert to fraction form
    174,284/260,732 = 260,732/x
  3. Step 3: Cross multiply
    174,284x = 260,732 × 260,732
  4. Step 4: Simplify right side
    174,284x = 67,981,175,824
  5. Step 5: Solve for x
    x = 67,981,175,824/174,284
  6. Step 6: Final answer
    x = 390,059.76

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