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Finding the Third Proportional to 174,769 and 382,243

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Solution

The third proportional to 174,769 and 382,243 is: 836,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,769 : 382,243 = 382,243 : x
  2. Step 2: Convert to fraction form
    174,769/382,243 = 382,243/x
  3. Step 3: Cross multiply
    174,769x = 382,243 × 382,243
  4. Step 4: Simplify right side
    174,769x = 146,109,711,049
  5. Step 5: Solve for x
    x = 146,109,711,049/174,769
  6. Step 6: Final answer
    x = 836,016.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.