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Finding the Third Proportional to 219,780 and 333,882

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Solution

The third proportional to 219,780 and 333,882 is: 507,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,780 : 333,882 = 333,882 : x
  2. Step 2: Convert to fraction form
    219,780/333,882 = 333,882/x
  3. Step 3: Cross multiply
    219,780x = 333,882 × 333,882
  4. Step 4: Simplify right side
    219,780x = 111,477,189,924
  5. Step 5: Solve for x
    x = 111,477,189,924/219,780
  6. Step 6: Final answer
    x = 507,221.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.