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Finding the Third Proportional to 202,212 and 301,371.75

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Solution

The third proportional to 202,212 and 301,371.75 is: 449,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,212 : 301,371.75 = 301,371.75 : x
  2. Step 2: Convert to fraction form
    202,212/301,371.75 = 301,371.75/x
  3. Step 3: Cross multiply
    202,212x = 301,371.75 × 301,371.75
  4. Step 4: Simplify right side
    202,212x = 90,824,931,698.06
  5. Step 5: Solve for x
    x = 90,824,931,698.06/202,212
  6. Step 6: Final answer
    x = 449,156.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.