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Finding the Third Proportional to 235,774 and 360,546

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Solution

The third proportional to 235,774 and 360,546 is: 551,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,774 : 360,546 = 360,546 : x
  2. Step 2: Convert to fraction form
    235,774/360,546 = 360,546/x
  3. Step 3: Cross multiply
    235,774x = 360,546 × 360,546
  4. Step 4: Simplify right side
    235,774x = 129,993,418,116
  5. Step 5: Solve for x
    x = 129,993,418,116/235,774
  6. Step 6: Final answer
    x = 551,347.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.