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Finding the Third Proportional to 174,240 and 269,217

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Solution

The third proportional to 174,240 and 269,217 is: 415,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,240 : 269,217 = 269,217 : x
  2. Step 2: Convert to fraction form
    174,240/269,217 = 269,217/x
  3. Step 3: Cross multiply
    174,240x = 269,217 × 269,217
  4. Step 4: Simplify right side
    174,240x = 72,477,793,089
  5. Step 5: Solve for x
    x = 72,477,793,089/174,240
  6. Step 6: Final answer
    x = 415,965.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.