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Finding the Third Proportional to 138,504 and 216,964

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Solution

The third proportional to 138,504 and 216,964 is: 339,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,504 : 216,964 = 216,964 : x
  2. Step 2: Convert to fraction form
    138,504/216,964 = 216,964/x
  3. Step 3: Cross multiply
    138,504x = 216,964 × 216,964
  4. Step 4: Simplify right side
    138,504x = 47,073,377,296
  5. Step 5: Solve for x
    x = 47,073,377,296/138,504
  6. Step 6: Final answer
    x = 339,870.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.