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Finding the Third Proportional to 213,744 and 333,557

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Solution

The third proportional to 213,744 and 333,557 is: 520,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,744 : 333,557 = 333,557 : x
  2. Step 2: Convert to fraction form
    213,744/333,557 = 333,557/x
  3. Step 3: Cross multiply
    213,744x = 333,557 × 333,557
  4. Step 4: Simplify right side
    213,744x = 111,260,272,249
  5. Step 5: Solve for x
    x = 111,260,272,249/213,744
  6. Step 6: Final answer
    x = 520,530.50

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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.