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Finding the Third Proportional to 174,764 and 382,236

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Solution

The third proportional to 174,764 and 382,236 is: 836,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,764 : 382,236 = 382,236 : x
  2. Step 2: Convert to fraction form
    174,764/382,236 = 382,236/x
  3. Step 3: Cross multiply
    174,764x = 382,236 × 382,236
  4. Step 4: Simplify right side
    174,764x = 146,104,359,696
  5. Step 5: Solve for x
    x = 146,104,359,696/174,764
  6. Step 6: Final answer
    x = 836,009.47

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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.