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Finding the Third Proportional to 233,301 and 361,941

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Solution

The third proportional to 233,301 and 361,941 is: 561,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,301 : 361,941 = 361,941 : x
  2. Step 2: Convert to fraction form
    233,301/361,941 = 361,941/x
  3. Step 3: Cross multiply
    233,301x = 361,941 × 361,941
  4. Step 4: Simplify right side
    233,301x = 131,001,287,481
  5. Step 5: Solve for x
    x = 131,001,287,481/233,301
  6. Step 6: Final answer
    x = 561,511.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.