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Finding the Third Proportional to 100,326 and 236,820

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Solution

The third proportional to 100,326 and 236,820 is: 559,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,326 : 236,820 = 236,820 : x
  2. Step 2: Convert to fraction form
    100,326/236,820 = 236,820/x
  3. Step 3: Cross multiply
    100,326x = 236,820 × 236,820
  4. Step 4: Simplify right side
    100,326x = 56,083,712,400
  5. Step 5: Solve for x
    x = 56,083,712,400/100,326
  6. Step 6: Final answer
    x = 559,014.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.