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Finding the Third Proportional to 236,421 and 525,327.75

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Solution

The third proportional to 236,421 and 525,327.75 is: 1,167,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,421 : 525,327.75 = 525,327.75 : x
  2. Step 2: Convert to fraction form
    236,421/525,327.75 = 525,327.75/x
  3. Step 3: Cross multiply
    236,421x = 525,327.75 × 525,327.75
  4. Step 4: Simplify right side
    236,421x = 275,969,244,920.06
  5. Step 5: Solve for x
    x = 275,969,244,920.06/236,421
  6. Step 6: Final answer
    x = 1,167,278.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.