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Finding the Third Proportional to 219,037.50 and 446,013

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Solution

The third proportional to 219,037.50 and 446,013 is: 908,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,037.50 : 446,013 = 446,013 : x
  2. Step 2: Convert to fraction form
    219,037.50/446,013 = 446,013/x
  3. Step 3: Cross multiply
    219,037.50x = 446,013 × 446,013
  4. Step 4: Simplify right side
    219,037.50x = 198,927,596,169
  5. Step 5: Solve for x
    x = 198,927,596,169/219,037.50
  6. Step 6: Final answer
    x = 908,189.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.