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Finding the Third Proportional to 236,567 and 376,613

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Solution

The third proportional to 236,567 and 376,613 is: 599,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,567 : 376,613 = 376,613 : x
  2. Step 2: Convert to fraction form
    236,567/376,613 = 376,613/x
  3. Step 3: Cross multiply
    236,567x = 376,613 × 376,613
  4. Step 4: Simplify right side
    236,567x = 141,837,351,769
  5. Step 5: Solve for x
    x = 141,837,351,769/236,567
  6. Step 6: Final answer
    x = 599,565.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.