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Finding the Third Proportional to 203,802 and 446,929.50

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Solution

The third proportional to 203,802 and 446,929.50 is: 980,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,802 : 446,929.50 = 446,929.50 : x
  2. Step 2: Convert to fraction form
    203,802/446,929.50 = 446,929.50/x
  3. Step 3: Cross multiply
    203,802x = 446,929.50 × 446,929.50
  4. Step 4: Simplify right side
    203,802x = 199,745,977,970.25
  5. Step 5: Solve for x
    x = 199,745,977,970.25/203,802
  6. Step 6: Final answer
    x = 980,098.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.