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Finding the Third Proportional to 100,324 and 237,682

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Solution

The third proportional to 100,324 and 237,682 is: 563,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,324 : 237,682 = 237,682 : x
  2. Step 2: Convert to fraction form
    100,324/237,682 = 237,682/x
  3. Step 3: Cross multiply
    100,324x = 237,682 × 237,682
  4. Step 4: Simplify right side
    100,324x = 56,492,733,124
  5. Step 5: Solve for x
    x = 56,492,733,124/100,324
  6. Step 6: Final answer
    x = 563,102.88

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.