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Finding the Third Proportional to 217,042 and 336,032

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Solution

The third proportional to 217,042 and 336,032 is: 520,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042 : 336,032 = 336,032 : x
  2. Step 2: Convert to fraction form
    217,042/336,032 = 336,032/x
  3. Step 3: Cross multiply
    217,042x = 336,032 × 336,032
  4. Step 4: Simplify right side
    217,042x = 112,917,505,024
  5. Step 5: Solve for x
    x = 112,917,505,024/217,042
  6. Step 6: Final answer
    x = 520,256.47

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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.