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Finding the Third Proportional to 100,356 and 236,895

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Solution

The third proportional to 100,356 and 236,895 is: 559,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,356 : 236,895 = 236,895 : x
  2. Step 2: Convert to fraction form
    100,356/236,895 = 236,895/x
  3. Step 3: Cross multiply
    100,356x = 236,895 × 236,895
  4. Step 4: Simplify right side
    100,356x = 56,119,241,025
  5. Step 5: Solve for x
    x = 56,119,241,025/100,356
  6. Step 6: Final answer
    x = 559,201.65

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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.