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Finding the Third Proportional to 213,746 and 333,559

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Solution

The third proportional to 213,746 and 333,559 is: 520,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,746 : 333,559 = 333,559 : x
  2. Step 2: Convert to fraction form
    213,746/333,559 = 333,559/x
  3. Step 3: Cross multiply
    213,746x = 333,559 × 333,559
  4. Step 4: Simplify right side
    213,746x = 111,261,606,481
  5. Step 5: Solve for x
    x = 111,261,606,481/213,746
  6. Step 6: Final answer
    x = 520,531.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.