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Finding the Third Proportional to 174,906 and 386,565

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Solution

The third proportional to 174,906 and 386,565 is: 854,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,906 : 386,565 = 386,565 : x
  2. Step 2: Convert to fraction form
    174,906/386,565 = 386,565/x
  3. Step 3: Cross multiply
    174,906x = 386,565 × 386,565
  4. Step 4: Simplify right side
    174,906x = 149,432,499,225
  5. Step 5: Solve for x
    x = 149,432,499,225/174,906
  6. Step 6: Final answer
    x = 854,358.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.