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Finding the Third Proportional to 217,946 and 330,178

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Solution

The third proportional to 217,946 and 330,178 is: 500,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,946 : 330,178 = 330,178 : x
  2. Step 2: Convert to fraction form
    217,946/330,178 = 330,178/x
  3. Step 3: Cross multiply
    217,946x = 330,178 × 330,178
  4. Step 4: Simplify right side
    217,946x = 109,017,511,684
  5. Step 5: Solve for x
    x = 109,017,511,684/217,946
  6. Step 6: Final answer
    x = 500,204.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.